8=6x-(5x-3)+2

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Solution for 8=6x-(5x-3)+2 equation:


Simplifying
8 = 6x + -1(5x + -3) + 2

Reorder the terms:
8 = 6x + -1(-3 + 5x) + 2
8 = 6x + (-3 * -1 + 5x * -1) + 2
8 = 6x + (3 + -5x) + 2

Reorder the terms:
8 = 3 + 2 + 6x + -5x

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

Combine like terms: 6x + -5x = 1x
8 = 5 + 1x

Solving
8 = 5 + 1x

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 + -1x = 5 + 1x + -1x

Combine like terms: 1x + -1x = 0
8 + -1x = 5 + 0
8 + -1x = 5

Add '-8' to each side of the equation.
8 + -8 + -1x = 5 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 5 + -8
-1x = 5 + -8

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

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

Simplifying
x = 3

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