9(x+2)-4(x-1)=2(x-3)+2(x-3)

Solution for 9(x+2)-4(x-1)=2(x-3)+2(x-3) equation:

Simplifying
9(x + 2) + -4(x + -1) = 2(x + -3) + 2(x + -3)

Reorder the terms:
9(2 + x) + -4(x + -1) = 2(x + -3) + 2(x + -3)
(2 * 9 + x * 9) + -4(x + -1) = 2(x + -3) + 2(x + -3)
(18 + 9x) + -4(x + -1) = 2(x + -3) + 2(x + -3)

Reorder the terms:
18 + 9x + -4(-1 + x) = 2(x + -3) + 2(x + -3)
18 + 9x + (-1 * -4 + x * -4) = 2(x + -3) + 2(x + -3)
18 + 9x + (4 + -4x) = 2(x + -3) + 2(x + -3)

Reorder the terms:
18 + 4 + 9x + -4x = 2(x + -3) + 2(x + -3)

Combine like terms: 18 + 4 = 22
22 + 9x + -4x = 2(x + -3) + 2(x + -3)

Combine like terms: 9x + -4x = 5x
22 + 5x = 2(x + -3) + 2(x + -3)

Reorder the terms:
22 + 5x = 2(-3 + x) + 2(x + -3)
22 + 5x = (-3 * 2 + x * 2) + 2(x + -3)
22 + 5x = (-6 + 2x) + 2(x + -3)

Reorder the terms:
22 + 5x = -6 + 2x + 2(-3 + x)
22 + 5x = -6 + 2x + (-3 * 2 + x * 2)
22 + 5x = -6 + 2x + (-6 + 2x)

Reorder the terms:
22 + 5x = -6 + -6 + 2x + 2x

Combine like terms: -6 + -6 = -12
22 + 5x = -12 + 2x + 2x

Combine like terms: 2x + 2x = 4x
22 + 5x = -12 + 4x

Solving
22 + 5x = -12 + 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.
22 + 5x + -4x = -12 + 4x + -4x

Combine like terms: 5x + -4x = 1x
22 + 1x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
22 + 1x = -12 + 0
22 + 1x = -12

Add '-22' to each side of the equation.
22 + -22 + 1x = -12 + -22

Combine like terms: 22 + -22 = 0
0 + 1x = -12 + -22
1x = -12 + -22

Combine like terms: -12 + -22 = -34
1x = -34

Divide each side by '1'.
x = -34

Simplifying
x = -34