23(16-x)=5(2x-1)

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Solution for 23(16-x)=5(2x-1) equation:


Simplifying
23(16 + -1x) = 5(2x + -1)
(16 * 23 + -1x * 23) = 5(2x + -1)
(368 + -23x) = 5(2x + -1)

Reorder the terms:
368 + -23x = 5(-1 + 2x)
368 + -23x = (-1 * 5 + 2x * 5)
368 + -23x = (-5 + 10x)

Solving
368 + -23x = -5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
368 + -23x + -10x = -5 + 10x + -10x

Combine like terms: -23x + -10x = -33x
368 + -33x = -5 + 10x + -10x

Combine like terms: 10x + -10x = 0
368 + -33x = -5 + 0
368 + -33x = -5

Add '-368' to each side of the equation.
368 + -368 + -33x = -5 + -368

Combine like terms: 368 + -368 = 0
0 + -33x = -5 + -368
-33x = -5 + -368

Combine like terms: -5 + -368 = -373
-33x = -373

Divide each side by '-33'.
x = 11.3030303

Simplifying
x = 11.3030303

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