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 = 36x
4 + 36x = 40 + -24x + 24x

Combine like terms: -24x + 24x = 0
4 + 36x = 40 + 0
4 + 36x = 40

Add '-4' to each side of the equation.
4 + -4 + 36x = 40 + -4

Combine like terms: 4 + -4 = 0
0 + 36x = 40 + -4
36x = 40 + -4

Combine like terms: 40 + -4 = 36
36x = 36

Divide each side by '36'.
x = 1

Simplifying
x = 1

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