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

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


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

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

Reorder the terms:
18 + 9x + -4(2 + x) = 2(2x + -1) + 2(x + 2)
18 + 9x + (2 * -4 + x * -4) = 2(2x + -1) + 2(x + 2)
18 + 9x + (-8 + -4x) = 2(2x + -1) + 2(x + 2)

Reorder the terms:
18 + -8 + 9x + -4x = 2(2x + -1) + 2(x + 2)

Combine like terms: 18 + -8 = 10
10 + 9x + -4x = 2(2x + -1) + 2(x + 2)

Combine like terms: 9x + -4x = 5x
10 + 5x = 2(2x + -1) + 2(x + 2)

Reorder the terms:
10 + 5x = 2(-1 + 2x) + 2(x + 2)
10 + 5x = (-1 * 2 + 2x * 2) + 2(x + 2)
10 + 5x = (-2 + 4x) + 2(x + 2)

Reorder the terms:
10 + 5x = -2 + 4x + 2(2 + x)
10 + 5x = -2 + 4x + (2 * 2 + x * 2)
10 + 5x = -2 + 4x + (4 + 2x)

Reorder the terms:
10 + 5x = -2 + 4 + 4x + 2x

Combine like terms: -2 + 4 = 2
10 + 5x = 2 + 4x + 2x

Combine like terms: 4x + 2x = 6x
10 + 5x = 2 + 6x

Solving
10 + 5x = 2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
10 + 5x + -6x = 2 + 6x + -6x

Combine like terms: 5x + -6x = -1x
10 + -1x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -1x = 2 + 0
10 + -1x = 2

Add '-10' to each side of the equation.
10 + -10 + -1x = 2 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 2 + -10
-1x = 2 + -10

Combine like terms: 2 + -10 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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