Question

Solve each equation for x.
4(x+4)+2x=52

Answer 1

x=6

Explanation:

4(x+4)+2x=52

distribute

4x+16+2x=52

combine like terms

6x+16=52

subtract 16 from both sides

6x=36

divide by 6

x=6

Answer 2

x = 6

Explanation:

Distribute the 4:

4x + 16 + 2x=52

Add similar variables (4x + 2x)

6x + 16 = 52

Move the 16 to the other side by subtracting 16 from both sides

6x = 36

Divide both sides by 6 to get rid of the 6 in front of the x

x = 6