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

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


Simplifying
2(8 + -3x) = 3 + -5(x + -1)
(8 * 2 + -3x * 2) = 3 + -5(x + -1)
(16 + -6x) = 3 + -5(x + -1)

Reorder the terms:
16 + -6x = 3 + -5(-1 + x)
16 + -6x = 3 + (-1 * -5 + x * -5)
16 + -6x = 3 + (5 + -5x)

Combine like terms: 3 + 5 = 8
16 + -6x = 8 + -5x

Solving
16 + -6x = 8 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
16 + -6x + 5x = 8 + -5x + 5x

Combine like terms: -6x + 5x = -1x
16 + -1x = 8 + -5x + 5x

Combine like terms: -5x + 5x = 0
16 + -1x = 8 + 0
16 + -1x = 8

Add '-16' to each side of the equation.
16 + -16 + -1x = 8 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 8 + -16
-1x = 8 + -16

Combine like terms: 8 + -16 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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