7x+2(4-x)=12-3(5+6x)

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Solution for 7x+2(4-x)=12-3(5+6x) equation: 


Simplifying
7x + 2(4 + -1x) = 12 + -3(5 + 6x)
7x + (4 * 2 + -1x * 2) = 12 + -3(5 + 6x)
7x + (8 + -2x) = 12 + -3(5 + 6x)

Reorder the terms:
8 + 7x + -2x = 12 + -3(5 + 6x)

Combine like terms: 7x + -2x = 5x
8 + 5x = 12 + -3(5 + 6x)
8 + 5x = 12 + (5 * -3 + 6x * -3)
8 + 5x = 12 + (-15 + -18x)

Combine like terms: 12 + -15 = -3
8 + 5x = -3 + -18x

Solving
8 + 5x = -3 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
8 + 5x + 18x = -3 + -18x + 18x

Combine like terms: 5x + 18x = 23x
8 + 23x = -3 + -18x + 18x

Combine like terms: -18x + 18x = 0
8 + 23x = -3 + 0
8 + 23x = -3

Add '-8' to each side of the equation.
8 + -8 + 23x = -3 + -8

Combine like terms: 8 + -8 = 0
0 + 23x = -3 + -8
23x = -3 + -8

Combine like terms: -3 + -8 = -11
23x = -11

Divide each side by '23'.
x = -0.4782608696

Simplifying
x = -0.4782608696

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