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

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


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

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

Reorder the terms:
2 + 4x + -3(-5 + 2x) = 29
2 + 4x + (-5 * -3 + 2x * -3) = 29
2 + 4x + (15 + -6x) = 29

Reorder the terms:
2 + 15 + 4x + -6x = 29

Combine like terms: 2 + 15 = 17
17 + 4x + -6x = 29

Combine like terms: 4x + -6x = -2x
17 + -2x = 29

Solving
17 + -2x = 29

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + -2x = 29 + -17

Combine like terms: 17 + -17 = 0
0 + -2x = 29 + -17
-2x = 29 + -17

Combine like terms: 29 + -17 = 12
-2x = 12

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

Simplifying
x = -6

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