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

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


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

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

Combine like terms: 8x + -2x = 6x
-8 + 6x = (-1x + 50)

Reorder the terms:
-8 + 6x = (50 + -1x)

Remove parenthesis around (50 + -1x)
-8 + 6x = 50 + -1x

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

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-8 + 6x + x = 50 + -1x + x

Combine like terms: 6x + x = 7x
-8 + 7x = 50 + -1x + x

Combine like terms: -1x + x = 0
-8 + 7x = 50 + 0
-8 + 7x = 50

Add '8' to each side of the equation.
-8 + 8 + 7x = 50 + 8

Combine like terms: -8 + 8 = 0
0 + 7x = 50 + 8
7x = 50 + 8

Combine like terms: 50 + 8 = 58
7x = 58

Divide each side by '7'.
x = 8.285714286

Simplifying
x = 8.285714286

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