10-(x+6)=8x-5

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Solution for 10-(x+6)=8x-5 equation:


Simplifying
10 + -1(x + 6) = 8x + -5

Reorder the terms:
10 + -1(6 + x) = 8x + -5
10 + (6 * -1 + x * -1) = 8x + -5
10 + (-6 + -1x) = 8x + -5

Combine like terms: 10 + -6 = 4
4 + -1x = 8x + -5

Reorder the terms:
4 + -1x = -5 + 8x

Solving
4 + -1x = -5 + 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.
4 + -1x + -8x = -5 + 8x + -8x

Combine like terms: -1x + -8x = -9x
4 + -9x = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
4 + -9x = -5 + 0
4 + -9x = -5

Add '-4' to each side of the equation.
4 + -4 + -9x = -5 + -4

Combine like terms: 4 + -4 = 0
0 + -9x = -5 + -4
-9x = -5 + -4

Combine like terms: -5 + -4 = -9
-9x = -9

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

Simplifying
x = 1

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