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

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


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

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

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

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

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

Reorder the terms:
2 + -3x = 3 + 5x + 3x

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

Solving
2 + -3x = 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.
2 + -3x + -8x = 3 + 8x + -8x

Combine like terms: -3x + -8x = -11x
2 + -11x = 3 + 8x + -8x

Combine like terms: 8x + -8x = 0
2 + -11x = 3 + 0
2 + -11x = 3

Add '-2' to each side of the equation.
2 + -2 + -11x = 3 + -2

Combine like terms: 2 + -2 = 0
0 + -11x = 3 + -2
-11x = 3 + -2

Combine like terms: 3 + -2 = 1
-11x = 1

Divide each side by '-11'.
x = -0.09090909091

Simplifying
x = -0.09090909091

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