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

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Solution for 6(x-1)-2x=-(x+50) equation:


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

Reorder the terms:
6(-1 + x) + -2x = -1(x + 50)
(-1 * 6 + x * 6) + -2x = -1(x + 50)
(-6 + 6x) + -2x = -1(x + 50)

Combine like terms: 6x + -2x = 4x
-6 + 4x = -1(x + 50)

Reorder the terms:
-6 + 4x = -1(50 + x)
-6 + 4x = (50 * -1 + x * -1)
-6 + 4x = (-50 + -1x)

Solving
-6 + 4x = -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.
-6 + 4x + x = -50 + -1x + x

Combine like terms: 4x + x = 5x
-6 + 5x = -50 + -1x + x

Combine like terms: -1x + x = 0
-6 + 5x = -50 + 0
-6 + 5x = -50

Add '6' to each side of the equation.
-6 + 6 + 5x = -50 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = -50 + 6
5x = -50 + 6

Combine like terms: -50 + 6 = -44
5x = -44

Divide each side by '5'.
x = -8.8

Simplifying
x = -8.8

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