(2+3)(6+4x)=55-2.5(x+2)

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Solution for (2+3)(6+4x)=55-2.5(x+2) equation:


Simplifying
(2 + 3)(6 + 4x) = 55 + -2.5(x + 2)

Combine like terms: 2 + 3 = 5
(5)(6 + 4x) = 55 + -2.5(x + 2)
(6 * 5 + 4x * 5) = 55 + -2.5(x + 2)
(30 + 20x) = 55 + -2.5(x + 2)

Reorder the terms:
30 + 20x = 55 + -2.5(2 + x)
30 + 20x = 55 + (2 * -2.5 + x * -2.5)
30 + 20x = 55 + (-5 + -2.5x)

Combine like terms: 55 + -5 = 50
30 + 20x = 50 + -2.5x

Solving
30 + 20x = 50 + -2.5x

Solving for variable 'x'.

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

Add '2.5x' to each side of the equation.
30 + 20x + 2.5x = 50 + -2.5x + 2.5x

Combine like terms: 20x + 2.5x = 22.5x
30 + 22.5x = 50 + -2.5x + 2.5x

Combine like terms: -2.5x + 2.5x = 0.0
30 + 22.5x = 50 + 0.0
30 + 22.5x = 50

Add '-30' to each side of the equation.
30 + -30 + 22.5x = 50 + -30

Combine like terms: 30 + -30 = 0
0 + 22.5x = 50 + -30
22.5x = 50 + -30

Combine like terms: 50 + -30 = 20
22.5x = 20

Divide each side by '22.5'.
x = 0.8888888889

Simplifying
x = 0.8888888889

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