5x-3(x-1)=-2+5x+8

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Solution for 5x-3(x-1)=-2+5x+8 equation:


Simplifying
5x + -3(x + -1) = -2 + 5x + 8

Reorder the terms:
5x + -3(-1 + x) = -2 + 5x + 8
5x + (-1 * -3 + x * -3) = -2 + 5x + 8
5x + (3 + -3x) = -2 + 5x + 8

Reorder the terms:
3 + 5x + -3x = -2 + 5x + 8

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

Reorder the terms:
3 + 2x = -2 + 8 + 5x

Combine like terms: -2 + 8 = 6
3 + 2x = 6 + 5x

Solving
3 + 2x = 6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3 + 2x + -5x = 6 + 5x + -5x

Combine like terms: 2x + -5x = -3x
3 + -3x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -3x = 6 + 0
3 + -3x = 6

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

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

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

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

Simplifying
x = -1

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