8x-7=2(14x+7)-5

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Solution for 8x-7=2(14x+7)-5 equation:


Simplifying
8x + -7 = 2(14x + 7) + -5

Reorder the terms:
-7 + 8x = 2(14x + 7) + -5

Reorder the terms:
-7 + 8x = 2(7 + 14x) + -5
-7 + 8x = (7 * 2 + 14x * 2) + -5
-7 + 8x = (14 + 28x) + -5

Reorder the terms:
-7 + 8x = 14 + -5 + 28x

Combine like terms: 14 + -5 = 9
-7 + 8x = 9 + 28x

Solving
-7 + 8x = 9 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
-7 + 8x + -28x = 9 + 28x + -28x

Combine like terms: 8x + -28x = -20x
-7 + -20x = 9 + 28x + -28x

Combine like terms: 28x + -28x = 0
-7 + -20x = 9 + 0
-7 + -20x = 9

Add '7' to each side of the equation.
-7 + 7 + -20x = 9 + 7

Combine like terms: -7 + 7 = 0
0 + -20x = 9 + 7
-20x = 9 + 7

Combine like terms: 9 + 7 = 16
-20x = 16

Divide each side by '-20'.
x = -0.8

Simplifying
x = -0.8

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