5.5(2x+5)=4(6x-2)

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Solution for 5.5(2x+5)=4(6x-2) equation:


Simplifying
5.5(2x + 5) = 4(6x + -2)

Reorder the terms:
5.5(5 + 2x) = 4(6x + -2)
(5 * 5.5 + 2x * 5.5) = 4(6x + -2)
(27.5 + 11x) = 4(6x + -2)

Reorder the terms:
27.5 + 11x = 4(-2 + 6x)
27.5 + 11x = (-2 * 4 + 6x * 4)
27.5 + 11x = (-8 + 24x)

Solving
27.5 + 11x = -8 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
27.5 + 11x + -24x = -8 + 24x + -24x

Combine like terms: 11x + -24x = -13x
27.5 + -13x = -8 + 24x + -24x

Combine like terms: 24x + -24x = 0
27.5 + -13x = -8 + 0
27.5 + -13x = -8

Add '-27.5' to each side of the equation.
27.5 + -27.5 + -13x = -8 + -27.5

Combine like terms: 27.5 + -27.5 = 0.0
0.0 + -13x = -8 + -27.5
-13x = -8 + -27.5

Combine like terms: -8 + -27.5 = -35.5
-13x = -35.5

Divide each side by '-13'.
x = 2.730769231

Simplifying
x = 2.730769231

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