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

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


Simplifying
8(3 + -2x) + 5(3x + -1) = 8(1 + -1x)
(3 * 8 + -2x * 8) + 5(3x + -1) = 8(1 + -1x)
(24 + -16x) + 5(3x + -1) = 8(1 + -1x)

Reorder the terms:
24 + -16x + 5(-1 + 3x) = 8(1 + -1x)
24 + -16x + (-1 * 5 + 3x * 5) = 8(1 + -1x)
24 + -16x + (-5 + 15x) = 8(1 + -1x)

Reorder the terms:
24 + -5 + -16x + 15x = 8(1 + -1x)

Combine like terms: 24 + -5 = 19
19 + -16x + 15x = 8(1 + -1x)

Combine like terms: -16x + 15x = -1x
19 + -1x = 8(1 + -1x)
19 + -1x = (1 * 8 + -1x * 8)
19 + -1x = (8 + -8x)

Solving
19 + -1x = 8 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
19 + -1x + 8x = 8 + -8x + 8x

Combine like terms: -1x + 8x = 7x
19 + 7x = 8 + -8x + 8x

Combine like terms: -8x + 8x = 0
19 + 7x = 8 + 0
19 + 7x = 8

Add '-19' to each side of the equation.
19 + -19 + 7x = 8 + -19

Combine like terms: 19 + -19 = 0
0 + 7x = 8 + -19
7x = 8 + -19

Combine like terms: 8 + -19 = -11
7x = -11

Divide each side by '7'.
x = -1.571428571

Simplifying
x = -1.571428571

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