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

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


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

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

Combine like terms: -6x + 2x = -4x
8 + -4x = 3(x + -6) + 5

Reorder the terms:
8 + -4x = 3(-6 + x) + 5
8 + -4x = (-6 * 3 + x * 3) + 5
8 + -4x = (-18 + 3x) + 5

Reorder the terms:
8 + -4x = -18 + 5 + 3x

Combine like terms: -18 + 5 = -13
8 + -4x = -13 + 3x

Solving
8 + -4x = -13 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8 + -4x + -3x = -13 + 3x + -3x

Combine like terms: -4x + -3x = -7x
8 + -7x = -13 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -7x = -13 + 0
8 + -7x = -13

Add '-8' to each side of the equation.
8 + -8 + -7x = -13 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = -13 + -8
-7x = -13 + -8

Combine like terms: -13 + -8 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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