Question

5x - 7 = 2x + 11

x = ?

Answer 1

x=6

Explanation:

Solve 5x−7=2x+11.

Subtract 2x from both sides.

5x−7−2x=2x+11−2x

3x−7=11

Add 7 to both sides.

3x−7+7=11+7

3x=18

Divide both sides by 3.

`(3x)/(3) =(18)/(3)`

x=6

Answer:

x=6

Answer 2

6

Explanation:

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-7 + 5x + -2x = 11 + 2x + -2x

Combine like terms: 5x + -2x = 3x

-7 + 3x = 11 + 2x + -2x

Combine like terms: 2x + -2x = 0

-7 + 3x = 11 + 0

-7 + 3x = 11

Add '7' to each side of the equation.

-7 + 7 + 3x = 11 + 7

Combine like terms: -7 + 7 = 0

0 + 3x = 11 + 7

3x = 11 + 7

Combine like terms: 11 + 7 = 18

3x = 18

Divide each side by '3'.

x = 6

Simplifying

x = 6