Solving Equations with variables on both sides

Front

What is the first step to solve the equation 3x + 6 = 10 + 3x + 4x?

Back

Combine like terms 3x and 4x on the same side of the equation.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

Solve for x: 2(x + 6) + 3 = 9 + 5x

Back

x = 2

Front

What is the solution to the equation 7x - 4 = 3 + 8x?

Back

x = -7

Front

What does it mean if an equation has no solution?

Back

It means that there are no values for the variable that will satisfy the equation.

Front

Solve for g: 6(5g + 2) = 30g

Back

No solution.

Front

Solve for x: 10x + 9 = 4x - 9

Back

x = -3

Front

What is the principle of isolating the variable in an equation?

Back

Isolating the variable means to manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the first step in solving the equation 4x + 2 = 10?

Back

Subtract 2 from both sides of the equation.

Front

What does it mean to have variables on both sides of an equation?

Back

It means that the variable appears on both the left and right sides of the equation, requiring manipulation to solve.