2(x-1)-6=10(1-x)6

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Solution for 2(x-1)-6=10(1-x)6 equation:


Simplifying
2(x + -1) + -6 = 10(1 + -1x) * 6

Reorder the terms:
2(-1 + x) + -6 = 10(1 + -1x) * 6
(-1 * 2 + x * 2) + -6 = 10(1 + -1x) * 6
(-2 + 2x) + -6 = 10(1 + -1x) * 6

Reorder the terms:
-2 + -6 + 2x = 10(1 + -1x) * 6

Combine like terms: -2 + -6 = -8
-8 + 2x = 10(1 + -1x) * 6

Reorder the terms for easier multiplication:
-8 + 2x = 10 * 6(1 + -1x)

Multiply 10 * 6
-8 + 2x = 60(1 + -1x)
-8 + 2x = (1 * 60 + -1x * 60)
-8 + 2x = (60 + -60x)

Solving
-8 + 2x = 60 + -60x

Solving for variable 'x'.

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

Add '60x' to each side of the equation.
-8 + 2x + 60x = 60 + -60x + 60x

Combine like terms: 2x + 60x = 62x
-8 + 62x = 60 + -60x + 60x

Combine like terms: -60x + 60x = 0
-8 + 62x = 60 + 0
-8 + 62x = 60

Add '8' to each side of the equation.
-8 + 8 + 62x = 60 + 8

Combine like terms: -8 + 8 = 0
0 + 62x = 60 + 8
62x = 60 + 8

Combine like terms: 60 + 8 = 68
62x = 68

Divide each side by '62'.
x = 1.096774194

Simplifying
x = 1.096774194

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