4(-3x+11)=-10(x-4)-14x

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Solution for 4(-3x+11)=-10(x-4)-14x equation: 


Simplifying
4(-3x + 11) = -10(x + -4) + -14x

Reorder the terms:
4(11 + -3x) = -10(x + -4) + -14x
(11 * 4 + -3x * 4) = -10(x + -4) + -14x
(44 + -12x) = -10(x + -4) + -14x

Reorder the terms:
44 + -12x = -10(-4 + x) + -14x
44 + -12x = (-4 * -10 + x * -10) + -14x
44 + -12x = (40 + -10x) + -14x

Combine like terms: -10x + -14x = -24x
44 + -12x = 40 + -24x

Solving
44 + -12x = 40 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
44 + -12x + 24x = 40 + -24x + 24x

Combine like terms: -12x + 24x = 12x
44 + 12x = 40 + -24x + 24x

Combine like terms: -24x + 24x = 0
44 + 12x = 40 + 0
44 + 12x = 40

Add '-44' to each side of the equation.
44 + -44 + 12x = 40 + -44

Combine like terms: 44 + -44 = 0
0 + 12x = 40 + -44
12x = 40 + -44

Combine like terms: 40 + -44 = -4
12x = -4

Divide each side by '12'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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