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

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


Simplifying
5(3 + -2x) + x = 3(2x + 1) + -8
(3 * 5 + -2x * 5) + x = 3(2x + 1) + -8
(15 + -10x) + x = 3(2x + 1) + -8

Combine like terms: -10x + x = -9x
15 + -9x = 3(2x + 1) + -8

Reorder the terms:
15 + -9x = 3(1 + 2x) + -8
15 + -9x = (1 * 3 + 2x * 3) + -8
15 + -9x = (3 + 6x) + -8

Reorder the terms:
15 + -9x = 3 + -8 + 6x

Combine like terms: 3 + -8 = -5
15 + -9x = -5 + 6x

Solving
15 + -9x = -5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
15 + -9x + -6x = -5 + 6x + -6x

Combine like terms: -9x + -6x = -15x
15 + -15x = -5 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + -15x = -5 + 0
15 + -15x = -5

Add '-15' to each side of the equation.
15 + -15 + -15x = -5 + -15

Combine like terms: 15 + -15 = 0
0 + -15x = -5 + -15
-15x = -5 + -15

Combine like terms: -5 + -15 = -20
-15x = -20

Divide each side by '-15'.
x = 1.333333333

Simplifying
x = 1.333333333

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