4(-3x+1)=-10(x-4)-14

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Solution for 4(-3x+1)=-10(x-4)-14 equation: 


Simplifying
4(-3x + 1) = -10(x + -4) + -14

Reorder the terms:
4(1 + -3x) = -10(x + -4) + -14
(1 * 4 + -3x * 4) = -10(x + -4) + -14
(4 + -12x) = -10(x + -4) + -14

Reorder the terms:
4 + -12x = -10(-4 + x) + -14
4 + -12x = (-4 * -10 + x * -10) + -14
4 + -12x = (40 + -10x) + -14

Reorder the terms:
4 + -12x = 40 + -14 + -10x

Combine like terms: 40 + -14 = 26
4 + -12x = 26 + -10x

Solving
4 + -12x = 26 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
4 + -12x + 10x = 26 + -10x + 10x

Combine like terms: -12x + 10x = -2x
4 + -2x = 26 + -10x + 10x

Combine like terms: -10x + 10x = 0
4 + -2x = 26 + 0
4 + -2x = 26

Add '-4' to each side of the equation.
4 + -4 + -2x = 26 + -4

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

Combine like terms: 26 + -4 = 22
-2x = 22

Divide each side by '-2'.
x = -11

Simplifying
x = -11

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