2(x-1)-6=10-2(x-4)

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Solution for 2(x-1)-6=10-2(x-4) equation: 


Simplifying
2(x + -1) + -6 = 10 + -2(x + -4)

Reorder the terms:
2(-1 + x) + -6 = 10 + -2(x + -4)
(-1 * 2 + x * 2) + -6 = 10 + -2(x + -4)
(-2 + 2x) + -6 = 10 + -2(x + -4)

Reorder the terms:
-2 + -6 + 2x = 10 + -2(x + -4)

Combine like terms: -2 + -6 = -8
-8 + 2x = 10 + -2(x + -4)

Reorder the terms:
-8 + 2x = 10 + -2(-4 + x)
-8 + 2x = 10 + (-4 * -2 + x * -2)
-8 + 2x = 10 + (8 + -2x)

Combine like terms: 10 + 8 = 18
-8 + 2x = 18 + -2x

Solving
-8 + 2x = 18 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-8 + 2x + 2x = 18 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-8 + 4x = 18 + -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + 4x = 18 + 0
-8 + 4x = 18

Add '8' to each side of the equation.
-8 + 8 + 4x = 18 + 8

Combine like terms: -8 + 8 = 0
0 + 4x = 18 + 8
4x = 18 + 8

Combine like terms: 18 + 8 = 26
4x = 26

Divide each side by '4'.
x = 6.5

Simplifying
x = 6.5

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