4(2x+1)=-3(4x-5)+29

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Solution for 4(2x+1)=-3(4x-5)+29 equation: 


Simplifying
4(2x + 1) = -3(4x + -5) + 29

Reorder the terms:
4(1 + 2x) = -3(4x + -5) + 29
(1 * 4 + 2x * 4) = -3(4x + -5) + 29
(4 + 8x) = -3(4x + -5) + 29

Reorder the terms:
4 + 8x = -3(-5 + 4x) + 29
4 + 8x = (-5 * -3 + 4x * -3) + 29
4 + 8x = (15 + -12x) + 29

Reorder the terms:
4 + 8x = 15 + 29 + -12x

Combine like terms: 15 + 29 = 44
4 + 8x = 44 + -12x

Solving
4 + 8x = 44 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
4 + 8x + 12x = 44 + -12x + 12x

Combine like terms: 8x + 12x = 20x
4 + 20x = 44 + -12x + 12x

Combine like terms: -12x + 12x = 0
4 + 20x = 44 + 0
4 + 20x = 44

Add '-4' to each side of the equation.
4 + -4 + 20x = 44 + -4

Combine like terms: 4 + -4 = 0
0 + 20x = 44 + -4
20x = 44 + -4

Combine like terms: 44 + -4 = 40
20x = 40

Divide each side by '20'.
x = 2

Simplifying
x = 2

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