2.5(x+13.5)=11(2x-16)

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Solution for 2.5(x+13.5)=11(2x-16) equation: 


Simplifying
2.5(x + 13.5) = 11(2x + -16)

Reorder the terms:
2.5(13.5 + x) = 11(2x + -16)
(13.5 * 2.5 + x * 2.5) = 11(2x + -16)
(33.75 + 2.5x) = 11(2x + -16)

Reorder the terms:
33.75 + 2.5x = 11(-16 + 2x)
33.75 + 2.5x = (-16 * 11 + 2x * 11)
33.75 + 2.5x = (-176 + 22x)

Solving
33.75 + 2.5x = -176 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
33.75 + 2.5x + -22x = -176 + 22x + -22x

Combine like terms: 2.5x + -22x = -19.5x
33.75 + -19.5x = -176 + 22x + -22x

Combine like terms: 22x + -22x = 0
33.75 + -19.5x = -176 + 0
33.75 + -19.5x = -176

Add '-33.75' to each side of the equation.
33.75 + -33.75 + -19.5x = -176 + -33.75

Combine like terms: 33.75 + -33.75 = 0.00
0.00 + -19.5x = -176 + -33.75
-19.5x = -176 + -33.75

Combine like terms: -176 + -33.75 = -209.75
-19.5x = -209.75

Divide each side by '-19.5'.
x = 10.75641026

Simplifying
x = 10.75641026

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