(-7x+4)-(2x-8)=x

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Solution for (-7x+4)-(2x-8)=x equation:


Simplifying
(-7x + 4) + -1(2x + -8) = x

Reorder the terms:
(4 + -7x) + -1(2x + -8) = x

Remove parenthesis around (4 + -7x)
4 + -7x + -1(2x + -8) = x

Reorder the terms:
4 + -7x + -1(-8 + 2x) = x
4 + -7x + (-8 * -1 + 2x * -1) = x
4 + -7x + (8 + -2x) = x

Reorder the terms:
4 + 8 + -7x + -2x = x

Combine like terms: 4 + 8 = 12
12 + -7x + -2x = x

Combine like terms: -7x + -2x = -9x
12 + -9x = x

Solving
12 + -9x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + -9x + -1x = x + -1x

Combine like terms: -9x + -1x = -10x
12 + -10x = x + -1x

Combine like terms: x + -1x = 0
12 + -10x = 0

Add '-12' to each side of the equation.
12 + -12 + -10x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -10x = 0 + -12
-10x = 0 + -12

Combine like terms: 0 + -12 = -12
-10x = -12

Divide each side by '-10'.
x = 1.2

Simplifying
x = 1.2

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