Adding and Subtracting Linear Expressions

Simplify the following.  

 $\left(4x+1\right)+\left(x+6\right)$  

When typing your answer, don't use any spaces.

Answer explanation

Since both sets of parenthesis have a positive 1 in front, the parenthesis are not necessary.  $4x+1+x+6$  
Reorder to put like terms together. Remember to keep the sign in front!
 $4x+x+1+6$  
Combine your like terms.  Remember x is the same as 1x!
 $5x+7$  

Simplify the following.  

 $\left(3x-5\right)+\left(4x-6\right)$  

When typing your answer, don't use any spaces.

Answer explanation

Since both sets of parenthesis have a positive 1 in front, the parenthesis are not necessary.  $3x-5+4x-6$  
Reorder to put like terms together. Remember to keep the sign in front!
 $3x+4x-5-6$  
Combine your like terms.  
 $7x-11$  

Simplify the following.  

 $\left(2x+8\right)+\left(5x+2\right)$  

When typing your answer, don't use any spaces.

Answer explanation

Since both sets of parenthesis have a positive 1 in front, the parenthesis are not necessary.  $2x+8+5x+2$  
Reorder to put like terms together. Remember to keep the sign in front!
 $2x+5x+8+2$  
Combine your like terms.  
 $7x+10$  

Simplify the following.  

 $\left(8x+10\right)-\left(3x+1\right)$  

When typing your answer, don't use any spaces.

Answer explanation

Begin by distributing the -1 to both numbers in the second set of parenthesis.

 $8x+10-3x-1$  
Reorder to put like terms together. Remember to keep the sign in front!
 $8x-3x+10-1$  
Combine your like terms.  
 $5x+9$  

Simplify the following.  

 $\left(7x-6\right)-\left(5x-2\right)$  

When typing your answer, don't use any spaces.

Answer explanation

Begin by distributing the -1 to both numbers in the second set of parenthesis.

 $7x-6-5x+2$  
Reorder to put like terms together. Remember to keep the sign in front!
 $7x-5x-6+2$  
Combine your like terms.  
 $2x-4$  

Simplify the following.  

 $\left(3x+10\right)-\left(6x-4\right)$  

When typing your answer, don't use any spaces.

Answer explanation

Begin by distributing the -1 to both numbers in the second set of parenthesis.

 $3x+10-6x+4$  
Reorder to put like terms together. Remember to keep the sign in front!
 $3x-6x+10+4$  
Combine your like terms.  
 $-3x+14$