-2-(x-2)=5x+3(x+1)

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Solution for -2-(x-2)=5x+3(x+1) equation:


Simplifying
-2 + -1(x + -2) = 5x + 3(x + 1)

Reorder the terms:
-2 + -1(-2 + x) = 5x + 3(x + 1)
-2 + (-2 * -1 + x * -1) = 5x + 3(x + 1)
-2 + (2 + -1x) = 5x + 3(x + 1)

Combine like terms: -2 + 2 = 0
0 + -1x = 5x + 3(x + 1)
-1x = 5x + 3(x + 1)

Reorder the terms:
-1x = 5x + 3(1 + x)
-1x = 5x + (1 * 3 + x * 3)
-1x = 5x + (3 + 3x)

Reorder the terms:
-1x = 3 + 5x + 3x

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

Solving
-1x = 3 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-1x + -8x = 3 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
-9x = 3 + 0
-9x = 3

Divide each side by '-9'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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