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

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


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

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

Combine like terms: 3 + -8 = -5
-5 + -1x = 2(x + -1)

Reorder the terms:
-5 + -1x = 2(-1 + x)
-5 + -1x = (-1 * 2 + x * 2)
-5 + -1x = (-2 + 2x)

Solving
-5 + -1x = -2 + 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.
-5 + -1x + -2x = -2 + 2x + -2x

Combine like terms: -1x + -2x = -3x
-5 + -3x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-5 + -3x = -2 + 0
-5 + -3x = -2

Add '5' to each side of the equation.
-5 + 5 + -3x = -2 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = -2 + 5
-3x = -2 + 5

Combine like terms: -2 + 5 = 3
-3x = 3

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

Simplifying
x = -1

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