Question

6. Solve for x. 10x - 4 = +(8x + 14)

Answer 1

Simplify brackets

10x - 4 = 8x + 14

Add 4 to both sides

10x = 8x + 14 + 4

Simplify 8x + 14 + 4 to 8x + 18

10x = 8x + 18

Subtract 8x from both sides

10x - 8x = 18

Simplify 10x - 8x to 2x

2x = 18

Divide both sides by 2

x = 18/2

Simplify 18/2 to 9

x = 9

Answer 2

10x - 4 = 8x + 14

Step 1: Combine like terms

x's go with x's (10x and 8x). To do this subtract 8x to both sides

(10x - 8x) - 4 = (8x-8x) + 14

2x - 4 = 14

Normal numbers go with normal numbers (-4 and 14). To do this add 4 to both sides

2x + (-4 + 4) = 14 + 4

2x = 18

Step 2: Isolate x by dividing 2 to both sides

2x/2 = 18/2

x = 9

Hope this helped!