8-6x+5=3(4x+5)-8

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Solution for 8-6x+5=3(4x+5)-8 equation:


Simplifying
8 + -6x + 5 = 3(4x + 5) + -8

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

Combine like terms: 8 + 5 = 13
13 + -6x = 3(4x + 5) + -8

Reorder the terms:
13 + -6x = 3(5 + 4x) + -8
13 + -6x = (5 * 3 + 4x * 3) + -8
13 + -6x = (15 + 12x) + -8

Reorder the terms:
13 + -6x = 15 + -8 + 12x

Combine like terms: 15 + -8 = 7
13 + -6x = 7 + 12x

Solving
13 + -6x = 7 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
13 + -6x + -12x = 7 + 12x + -12x

Combine like terms: -6x + -12x = -18x
13 + -18x = 7 + 12x + -12x

Combine like terms: 12x + -12x = 0
13 + -18x = 7 + 0
13 + -18x = 7

Add '-13' to each side of the equation.
13 + -13 + -18x = 7 + -13

Combine like terms: 13 + -13 = 0
0 + -18x = 7 + -13
-18x = 7 + -13

Combine like terms: 7 + -13 = -6
-18x = -6

Divide each side by '-18'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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