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 = -4x
4 + 12x = -40 + -4x

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

Combine like terms: 12x + 4x = 16x
4 + 16x = -40 + -4x + 4x

Combine like terms: -4x + 4x = 0
4 + 16x = -40 + 0
4 + 16x = -40

Add '-4' to each side of the equation.
4 + -4 + 16x = -40 + -4

Combine like terms: 4 + -4 = 0
0 + 16x = -40 + -4
16x = -40 + -4

Combine like terms: -40 + -4 = -44
16x = -44

Divide each side by '16'.
x = -2.75

Simplifying
x = -2.75

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