6x+7(2x-2)=29-5x

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Solution for 6x+7(2x-2)=29-5x equation:


Simplifying
6x + 7(2x + -2) = 29 + -5x

Reorder the terms:
6x + 7(-2 + 2x) = 29 + -5x
6x + (-2 * 7 + 2x * 7) = 29 + -5x
6x + (-14 + 14x) = 29 + -5x

Reorder the terms:
-14 + 6x + 14x = 29 + -5x

Combine like terms: 6x + 14x = 20x
-14 + 20x = 29 + -5x

Solving
-14 + 20x = 29 + -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.
-14 + 20x + 5x = 29 + -5x + 5x

Combine like terms: 20x + 5x = 25x
-14 + 25x = 29 + -5x + 5x

Combine like terms: -5x + 5x = 0
-14 + 25x = 29 + 0
-14 + 25x = 29

Add '14' to each side of the equation.
-14 + 14 + 25x = 29 + 14

Combine like terms: -14 + 14 = 0
0 + 25x = 29 + 14
25x = 29 + 14

Combine like terms: 29 + 14 = 43
25x = 43

Divide each side by '25'.
x = 1.72

Simplifying
x = 1.72

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