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

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


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

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

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

Combine like terms: 4 + 29 = 33
33 + 8x = 3(2x + -5)

Reorder the terms:
33 + 8x = 3(-5 + 2x)
33 + 8x = (-5 * 3 + 2x * 3)
33 + 8x = (-15 + 6x)

Solving
33 + 8x = -15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
33 + 8x + -6x = -15 + 6x + -6x

Combine like terms: 8x + -6x = 2x
33 + 2x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
33 + 2x = -15 + 0
33 + 2x = -15

Add '-33' to each side of the equation.
33 + -33 + 2x = -15 + -33

Combine like terms: 33 + -33 = 0
0 + 2x = -15 + -33
2x = -15 + -33

Combine like terms: -15 + -33 = -48
2x = -48

Divide each side by '2'.
x = -24

Simplifying
x = -24

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