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

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


Simplifying
14 + -1(x + 7) = 8x + -2

Reorder the terms:
14 + -1(7 + x) = 8x + -2
14 + (7 * -1 + x * -1) = 8x + -2
14 + (-7 + -1x) = 8x + -2

Combine like terms: 14 + -7 = 7
7 + -1x = 8x + -2

Reorder the terms:
7 + -1x = -2 + 8x

Solving
7 + -1x = -2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
7 + -1x + -8x = -2 + 8x + -8x

Combine like terms: -1x + -8x = -9x
7 + -9x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
7 + -9x = -2 + 0
7 + -9x = -2

Add '-7' to each side of the equation.
7 + -7 + -9x = -2 + -7

Combine like terms: 7 + -7 = 0
0 + -9x = -2 + -7
-9x = -2 + -7

Combine like terms: -2 + -7 = -9
-9x = -9

Divide each side by '-9'.
x = 1

Simplifying
x = 1

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