Question

2(x-3)+9=3(x+1) +x what is x

Answer 1

Answer: 3

Step-by-step explanation: Simplifying

2(x + -3) + 9 = 3(x + -1) + x

Reorder the terms:

2(-3 + x) + 9 = 3(x + -1) + x

(-3 * 2 + x * 2) + 9 = 3(x + -1) + x

(-6 + 2x) + 9 = 3(x + -1) + x

Reorder the terms:

-6 + 9 + 2x = 3(x + -1) + x

Combine like terms: -6 + 9 = 3

3 + 2x = 3(x + -1) + x

Reorder the terms:

3 + 2x = 3(-1 + x) + x

3 + 2x = (-1 * 3 + x * 3) + x

3 + 2x = (-3 + 3x) + x

Combine like terms: 3x + x = 4x

3 + 2x = -3 + 4x

Solving

3 + 2x = -3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.

3 + 2x + -4x = -3 + 4x + -4x

Combine like terms: 2x + -4x = -2x

3 + -2x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0

3 + -2x = -3 + 0

3 + -2x = -3

Add '-3' to each side of the equation.

3 + -3 + -2x = -3 + -3

Combine like terms: 3 + -3 = 0

0 + -2x = -3 + -3

-2x = -3 + -3

Combine like terms: -3 + -3 = -6

-2x = -6

Divide each side by '-2'.

x = 3

Simplifying

x = 3