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

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


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

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

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

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

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

Solving
8 + 3x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + 3x + -1x = 2 + x + -1x

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

Combine like terms: x + -1x = 0
8 + 2x = 2 + 0
8 + 2x = 2

Add '-8' to each side of the equation.
8 + -8 + 2x = 2 + -8

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

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

Divide each side by '2'.
x = -3

Simplifying
x = -3

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