2(7x+12)+3(4x+2)-3(5x+8)=x

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Solution for 2(7x+12)+3(4x+2)-3(5x+8)=x equation:


Simplifying
2(7x + 12) + 3(4x + 2) + -3(5x + 8) = x

Reorder the terms:
2(12 + 7x) + 3(4x + 2) + -3(5x + 8) = x
(12 * 2 + 7x * 2) + 3(4x + 2) + -3(5x + 8) = x
(24 + 14x) + 3(4x + 2) + -3(5x + 8) = x

Reorder the terms:
24 + 14x + 3(2 + 4x) + -3(5x + 8) = x
24 + 14x + (2 * 3 + 4x * 3) + -3(5x + 8) = x
24 + 14x + (6 + 12x) + -3(5x + 8) = x

Reorder the terms:
24 + 14x + 6 + 12x + -3(8 + 5x) = x
24 + 14x + 6 + 12x + (8 * -3 + 5x * -3) = x
24 + 14x + 6 + 12x + (-24 + -15x) = x

Reorder the terms:
24 + 6 + -24 + 14x + 12x + -15x = x

Combine like terms: 24 + 6 = 30
30 + -24 + 14x + 12x + -15x = x

Combine like terms: 30 + -24 = 6
6 + 14x + 12x + -15x = x

Combine like terms: 14x + 12x = 26x
6 + 26x + -15x = x

Combine like terms: 26x + -15x = 11x
6 + 11x = x

Solving
6 + 11x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 11x + -1x = x + -1x

Combine like terms: 11x + -1x = 10x
6 + 10x = x + -1x

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

Add '-6' to each side of the equation.
6 + -6 + 10x = 0 + -6

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

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

Divide each side by '10'.
x = -0.6

Simplifying
x = -0.6

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