13-(x+7)=8x-3

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Solution for 13-(x+7)=8x-3 equation:


Simplifying
13 + -1(x + 7) = 8x + -3

Reorder the terms:
13 + -1(7 + x) = 8x + -3
13 + (7 * -1 + x * -1) = 8x + -3
13 + (-7 + -1x) = 8x + -3

Combine like terms: 13 + -7 = 6
6 + -1x = 8x + -3

Reorder the terms:
6 + -1x = -3 + 8x

Solving
6 + -1x = -3 + 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.
6 + -1x + -8x = -3 + 8x + -8x

Combine like terms: -1x + -8x = -9x
6 + -9x = -3 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -9x = -3 + 0
6 + -9x = -3

Add '-6' to each side of the equation.
6 + -6 + -9x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -9x = -3 + -6
-9x = -3 + -6

Combine like terms: -3 + -6 = -9
-9x = -9

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

Simplifying
x = 1

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