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

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


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

Reorder the terms:
8 + -3(3 + x) = 2(-1x + -2)
8 + (3 * -3 + x * -3) = 2(-1x + -2)
8 + (-9 + -3x) = 2(-1x + -2)

Combine like terms: 8 + -9 = -1
-1 + -3x = 2(-1x + -2)

Reorder the terms:
-1 + -3x = 2(-2 + -1x)
-1 + -3x = (-2 * 2 + -1x * 2)
-1 + -3x = (-4 + -2x)

Solving
-1 + -3x = -4 + -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 + -3x + 2x = -4 + -2x + 2x

Combine like terms: -3x + 2x = -1x
-1 + -1x = -4 + -2x + 2x

Combine like terms: -2x + 2x = 0
-1 + -1x = -4 + 0
-1 + -1x = -4

Add '1' to each side of the equation.
-1 + 1 + -1x = -4 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = -4 + 1
-1x = -4 + 1

Combine like terms: -4 + 1 = -3
-1x = -3

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

Simplifying
x = 3

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