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

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


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

Reorder the terms:
12 + -6x = -4(-5 + x) + 6
12 + -6x = (-5 * -4 + x * -4) + 6
12 + -6x = (20 + -4x) + 6

Reorder the terms:
12 + -6x = 20 + 6 + -4x

Combine like terms: 20 + 6 = 26
12 + -6x = 26 + -4x

Solving
12 + -6x = 26 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
12 + -6x + 4x = 26 + -4x + 4x

Combine like terms: -6x + 4x = -2x
12 + -2x = 26 + -4x + 4x

Combine like terms: -4x + 4x = 0
12 + -2x = 26 + 0
12 + -2x = 26

Add '-12' to each side of the equation.
12 + -12 + -2x = 26 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = 26 + -12
-2x = 26 + -12

Combine like terms: 26 + -12 = 14
-2x = 14

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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