4(3x+1)+2(2x+2)=5x-14

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Solution for 4(3x+1)+2(2x+2)=5x-14 equation: 


Simplifying
4(3x + 1) + 2(2x + 2) = 5x + -14

Reorder the terms:
4(1 + 3x) + 2(2x + 2) = 5x + -14
(1 * 4 + 3x * 4) + 2(2x + 2) = 5x + -14
(4 + 12x) + 2(2x + 2) = 5x + -14

Reorder the terms:
4 + 12x + 2(2 + 2x) = 5x + -14
4 + 12x + (2 * 2 + 2x * 2) = 5x + -14
4 + 12x + (4 + 4x) = 5x + -14

Reorder the terms:
4 + 4 + 12x + 4x = 5x + -14

Combine like terms: 4 + 4 = 8
8 + 12x + 4x = 5x + -14

Combine like terms: 12x + 4x = 16x
8 + 16x = 5x + -14

Reorder the terms:
8 + 16x = -14 + 5x

Solving
8 + 16x = -14 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
8 + 16x + -5x = -14 + 5x + -5x

Combine like terms: 16x + -5x = 11x
8 + 11x = -14 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + 11x = -14 + 0
8 + 11x = -14

Add '-8' to each side of the equation.
8 + -8 + 11x = -14 + -8

Combine like terms: 8 + -8 = 0
0 + 11x = -14 + -8
11x = -14 + -8

Combine like terms: -14 + -8 = -22
11x = -22

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

Simplifying
x = -2

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