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

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


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

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

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

Combine like terms: 2 + -29 = -27
-27 + 4x = 3(2x + -5)

Reorder the terms:
-27 + 4x = 3(-5 + 2x)
-27 + 4x = (-5 * 3 + 2x * 3)
-27 + 4x = (-15 + 6x)

Solving
-27 + 4x = -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.
-27 + 4x + -6x = -15 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-27 + -2x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
-27 + -2x = -15 + 0
-27 + -2x = -15

Add '27' to each side of the equation.
-27 + 27 + -2x = -15 + 27

Combine like terms: -27 + 27 = 0
0 + -2x = -15 + 27
-2x = -15 + 27

Combine like terms: -15 + 27 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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