5(8-x)-23=12-2(2x-1)

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Solution for 5(8-x)-23=12-2(2x-1) equation:


Simplifying
5(8 + -1x) + -23 = 12 + -2(2x + -1)
(8 * 5 + -1x * 5) + -23 = 12 + -2(2x + -1)
(40 + -5x) + -23 = 12 + -2(2x + -1)

Reorder the terms:
40 + -23 + -5x = 12 + -2(2x + -1)

Combine like terms: 40 + -23 = 17
17 + -5x = 12 + -2(2x + -1)

Reorder the terms:
17 + -5x = 12 + -2(-1 + 2x)
17 + -5x = 12 + (-1 * -2 + 2x * -2)
17 + -5x = 12 + (2 + -4x)

Combine like terms: 12 + 2 = 14
17 + -5x = 14 + -4x

Solving
17 + -5x = 14 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
17 + -5x + 4x = 14 + -4x + 4x

Combine like terms: -5x + 4x = -1x
17 + -1x = 14 + -4x + 4x

Combine like terms: -4x + 4x = 0
17 + -1x = 14 + 0
17 + -1x = 14

Add '-17' to each side of the equation.
17 + -17 + -1x = 14 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 14 + -17
-1x = 14 + -17

Combine like terms: 14 + -17 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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