8(x-1)-2x=(x-50)

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Solution for 8(x-1)-2x=(x-50) equation:


Simplifying
8(x + -1) + -2x = (x + -50)

Reorder the terms:
8(-1 + x) + -2x = (x + -50)
(-1 * 8 + x * 8) + -2x = (x + -50)
(-8 + 8x) + -2x = (x + -50)

Combine like terms: 8x + -2x = 6x
-8 + 6x = (x + -50)

Reorder the terms:
-8 + 6x = (-50 + x)

Remove parenthesis around (-50 + x)
-8 + 6x = -50 + x

Solving
-8 + 6x = -50 + 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.
-8 + 6x + -1x = -50 + x + -1x

Combine like terms: 6x + -1x = 5x
-8 + 5x = -50 + x + -1x

Combine like terms: x + -1x = 0
-8 + 5x = -50 + 0
-8 + 5x = -50

Add '8' to each side of the equation.
-8 + 8 + 5x = -50 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = -50 + 8
5x = -50 + 8

Combine like terms: -50 + 8 = -42
5x = -42

Divide each side by '5'.
x = -8.4

Simplifying
x = -8.4

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