10-(x+8)=7x-6

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Solution for 10-(x+8)=7x-6 equation: 


Simplifying
10 + -1(x + 8) = 7x + -6

Reorder the terms:
10 + -1(8 + x) = 7x + -6
10 + (8 * -1 + x * -1) = 7x + -6
10 + (-8 + -1x) = 7x + -6

Combine like terms: 10 + -8 = 2
2 + -1x = 7x + -6

Reorder the terms:
2 + -1x = -6 + 7x

Solving
2 + -1x = -6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
2 + -1x + -7x = -6 + 7x + -7x

Combine like terms: -1x + -7x = -8x
2 + -8x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + -8x = -6 + 0
2 + -8x = -6

Add '-2' to each side of the equation.
2 + -2 + -8x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -8x = -6 + -2
-8x = -6 + -2

Combine like terms: -6 + -2 = -8
-8x = -8

Divide each side by '-8'.
x = 1

Simplifying
x = 1

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