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

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


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

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

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

Combine like terms: -10x + -14x = -24x
-4 + -12x = 40 + -24x

Solving
-4 + -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.
-4 + -12x + 24x = 40 + -24x + 24x

Combine like terms: -12x + 24x = 12x
-4 + 12x = 40 + -24x + 24x

Combine like terms: -24x + 24x = 0
-4 + 12x = 40 + 0
-4 + 12x = 40

Add '4' to each side of the equation.
-4 + 4 + 12x = 40 + 4

Combine like terms: -4 + 4 = 0
0 + 12x = 40 + 4
12x = 40 + 4

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

Divide each side by '12'.
x = 3.666666667

Simplifying
x = 3.666666667

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