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

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


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

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

Combine like terms: 1 + 2 = 3
3 + -2x = x + 6

Reorder the terms:
3 + -2x = 6 + x

Solving
3 + -2x = 6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3 + -2x + -1x = 6 + x + -1x

Combine like terms: -2x + -1x = -3x
3 + -3x = 6 + x + -1x

Combine like terms: x + -1x = 0
3 + -3x = 6 + 0
3 + -3x = 6

Add '-3' to each side of the equation.
3 + -3 + -3x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = 6 + -3
-3x = 6 + -3

Combine like terms: 6 + -3 = 3
-3x = 3

Divide each side by '-3'.
x = -1

Simplifying
x = -1

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