4x-(3x+2)+9=12-5x

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Solution for 4x-(3x+2)+9=12-5x equation:


Simplifying
4x + -1(3x + 2) + 9 = 12 + -5x

Reorder the terms:
4x + -1(2 + 3x) + 9 = 12 + -5x
4x + (2 * -1 + 3x * -1) + 9 = 12 + -5x
4x + (-2 + -3x) + 9 = 12 + -5x

Reorder the terms:
-2 + 9 + 4x + -3x = 12 + -5x

Combine like terms: -2 + 9 = 7
7 + 4x + -3x = 12 + -5x

Combine like terms: 4x + -3x = 1x
7 + 1x = 12 + -5x

Solving
7 + 1x = 12 + -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.
7 + 1x + 5x = 12 + -5x + 5x

Combine like terms: 1x + 5x = 6x
7 + 6x = 12 + -5x + 5x

Combine like terms: -5x + 5x = 0
7 + 6x = 12 + 0
7 + 6x = 12

Add '-7' to each side of the equation.
7 + -7 + 6x = 12 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = 12 + -7
6x = 12 + -7

Combine like terms: 12 + -7 = 5
6x = 5

Divide each side by '6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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