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

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


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

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

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

Combine like terms: 12 + -2 = 10
10 + 4x + 9x = 12x

Combine like terms: 4x + 9x = 13x
10 + 13x = 12x

Solving
10 + 13x = 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
10 + 13x + -12x = 12x + -12x

Combine like terms: 13x + -12x = 1x
10 + 1x = 12x + -12x

Combine like terms: 12x + -12x = 0
10 + 1x = 0

Add '-10' to each side of the equation.
10 + -10 + 1x = 0 + -10

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

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

Divide each side by '1'.
x = -10

Simplifying
x = -10

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