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

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


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

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

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

Solving
1 + -1x = 6 + 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.
1 + -1x + -2x = 6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
1 + -3x = 6 + 0
1 + -3x = 6

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

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

Combine like terms: 6 + -1 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

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