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

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


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

Reorder the terms:
4(2 + x) + -9x = 3(x + 2) + 2x
(2 * 4 + x * 4) + -9x = 3(x + 2) + 2x
(8 + 4x) + -9x = 3(x + 2) + 2x

Combine like terms: 4x + -9x = -5x
8 + -5x = 3(x + 2) + 2x

Reorder the terms:
8 + -5x = 3(2 + x) + 2x
8 + -5x = (2 * 3 + x * 3) + 2x
8 + -5x = (6 + 3x) + 2x

Combine like terms: 3x + 2x = 5x
8 + -5x = 6 + 5x

Solving
8 + -5x = 6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
8 + -5x + -5x = 6 + 5x + -5x

Combine like terms: -5x + -5x = -10x
8 + -10x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -10x = 6 + 0
8 + -10x = 6

Add '-8' to each side of the equation.
8 + -8 + -10x = 6 + -8

Combine like terms: 8 + -8 = 0
0 + -10x = 6 + -8
-10x = 6 + -8

Combine like terms: 6 + -8 = -2
-10x = -2

Divide each side by '-10'.
x = 0.2

Simplifying
x = 0.2

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