12-3(6x-2)=4(x+5)-(9-x)

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Solution for 12-3(6x-2)=4(x+5)-(9-x) equation:


Simplifying
12 + -3(6x + -2) = 4(x + 5) + -1(9 + -1x)

Reorder the terms:
12 + -3(-2 + 6x) = 4(x + 5) + -1(9 + -1x)
12 + (-2 * -3 + 6x * -3) = 4(x + 5) + -1(9 + -1x)
12 + (6 + -18x) = 4(x + 5) + -1(9 + -1x)

Combine like terms: 12 + 6 = 18
18 + -18x = 4(x + 5) + -1(9 + -1x)

Reorder the terms:
18 + -18x = 4(5 + x) + -1(9 + -1x)
18 + -18x = (5 * 4 + x * 4) + -1(9 + -1x)
18 + -18x = (20 + 4x) + -1(9 + -1x)
18 + -18x = 20 + 4x + (9 * -1 + -1x * -1)
18 + -18x = 20 + 4x + (-9 + 1x)

Reorder the terms:
18 + -18x = 20 + -9 + 4x + 1x

Combine like terms: 20 + -9 = 11
18 + -18x = 11 + 4x + 1x

Combine like terms: 4x + 1x = 5x
18 + -18x = 11 + 5x

Solving
18 + -18x = 11 + 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.
18 + -18x + -5x = 11 + 5x + -5x

Combine like terms: -18x + -5x = -23x
18 + -23x = 11 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + -23x = 11 + 0
18 + -23x = 11

Add '-18' to each side of the equation.
18 + -18 + -23x = 11 + -18

Combine like terms: 18 + -18 = 0
0 + -23x = 11 + -18
-23x = 11 + -18

Combine like terms: 11 + -18 = -7
-23x = -7

Divide each side by '-23'.
x = 0.3043478261

Simplifying
x = 0.3043478261

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