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

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


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

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

Combine like terms: 2x + -4x = -2x
12 + -4x = -18 + -2x

Solving
12 + -4x = -18 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
12 + -4x + 2x = -18 + -2x + 2x

Combine like terms: -4x + 2x = -2x
12 + -2x = -18 + -2x + 2x

Combine like terms: -2x + 2x = 0
12 + -2x = -18 + 0
12 + -2x = -18

Add '-12' to each side of the equation.
12 + -12 + -2x = -18 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -18 + -12
-2x = -18 + -12

Combine like terms: -18 + -12 = -30
-2x = -30

Divide each side by '-2'.
x = 15

Simplifying
x = 15

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