2(x-3)-2=-8(x-1)

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Solution for 2(x-3)-2=-8(x-1) equation:


Simplifying
2(x + -3) + -2 = -8(x + -1)

Reorder the terms:
2(-3 + x) + -2 = -8(x + -1)
(-3 * 2 + x * 2) + -2 = -8(x + -1)
(-6 + 2x) + -2 = -8(x + -1)

Reorder the terms:
-6 + -2 + 2x = -8(x + -1)

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

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

Solving
-8 + 2x = 8 + -8x

Solving for variable 'x'.

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

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

Combine like terms: 2x + 8x = 10x
-8 + 10x = 8 + -8x + 8x

Combine like terms: -8x + 8x = 0
-8 + 10x = 8 + 0
-8 + 10x = 8

Add '8' to each side of the equation.
-8 + 8 + 10x = 8 + 8

Combine like terms: -8 + 8 = 0
0 + 10x = 8 + 8
10x = 8 + 8

Combine like terms: 8 + 8 = 16
10x = 16

Divide each side by '10'.
x = 1.6

Simplifying
x = 1.6

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