First Steps (1)

1. 2x + 3 = 11

• Divide both sides by 2

• Subtract 3 from both sides

• Add 3 to both sides

• Multiply both sides by 2

Answer explanation

To solve for x, first subtract 3 from both sides of the equation 2x + 3 = 11. This simplifies to 2x = 8, making it easier to isolate x.

x/4 + 2 = 6

• Multiply both sides by 4

• Divide both sides by 4

• Subtract 2 from both sides

• Add 2 to both sides

Answer explanation

To isolate x, first subtract 2 from both sides of the equation. This gives x/4 = 4. Then, you can multiply both sides by 4 to solve for x. Thus, the correct first step is to subtract 2 from both sides.

5x - 7 = 18

• Subtract 7 from both sides

• Divide both sides by 5

• Add 7 to both sides

• Multiply both sides by 5

Answer explanation

To solve for x in the equation 5x - 7 = 18, we first need to isolate the term with x. Adding 7 to both sides eliminates the -7, leading to 5x = 25, which allows us to solve for x.

x/3 - 4 = 2

• Subtract 3 from both sides

• Add 4 to both sides

• Multiply both sides by 3

• Divide both sides by 3

Answer explanation

To solve for x, first isolate the term with x. Adding 4 to both sides of the equation x/3 - 4 = 2 gives x/3 = 6, which simplifies the equation correctly.

6x + 2 = -10

• Add 2 to both sides

• Multiply both sides by 6

• Subtract 2 from both sides

• Divide both sides by 6

Answer explanation

To isolate x, we need to eliminate the constant on the left side. Subtracting 2 from both sides simplifies the equation to 6x = -12, making it easier to solve for x.

6. 3x + 4 = 13

• Divide both sides by 3

• Subtract 4 from both sides

• Add 4 to both sides

• Multiply both sides by 3

Answer explanation

To solve for x, first subtract 4 from both sides of the equation 3x + 4 = 13. This simplifies to 3x = 9, making it easier to isolate x.

7. x/2 + 5 = 9

• Multiply both sides by 2

• Subtract 5 from both sides

• Add 5 to both sides

• Divide both sides by 2

Answer explanation

To solve for x, first subtract 5 from both sides of the equation. This simplifies it to x/2 = 4, making it easier to isolate x. Thus, the correct step is to subtract 5 from both sides.

4x - 3 = 17

• Divide both sides by 4

• Subtract 3 from both sides

• Add 3 to both sides

• Multiply both sides by 4

Answer explanation

To isolate the variable, start by adding 3 to both sides of the equation. This eliminates the -3 on the left, leading to 4x = 20, which can then be solved for x.

9. x/5 - 6 = 0

• Multiply both sides by 5

• Add 6 to both sides

• Divide both sides by 5

• Subtract 6 from both sides

Answer explanation

To solve for x, we need to isolate it. Adding 6 to both sides of the equation x/5 - 6 = 0 helps eliminate the -6, leading to x/5 = 6, which can then be solved by multiplying both sides by 5.

6x + 1 = 13

• Add 1 to both sides

• Multiply both sides by 6

• Subtract 1 from both sides

• Divide both sides by 6

Answer explanation

To solve for x in the equation 6x + 1 = 13, we need to isolate the term with x. Subtracting 1 from both sides simplifies the equation to 6x = 12, making it the correct first step.