0.9(2x+8)=20-(x-5)

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Solution for 0.9(2x+8)=20-(x-5) equation: 


Simplifying
0.9(2x + 8) = 20 + -1(x + -5)

Reorder the terms:
0.9(8 + 2x) = 20 + -1(x + -5)
(8 * 0.9 + 2x * 0.9) = 20 + -1(x + -5)
(7.2 + 1.8x) = 20 + -1(x + -5)

Reorder the terms:
7.2 + 1.8x = 20 + -1(-5 + x)
7.2 + 1.8x = 20 + (-5 * -1 + x * -1)
7.2 + 1.8x = 20 + (5 + -1x)

Combine like terms: 20 + 5 = 25
7.2 + 1.8x = 25 + -1x

Solving
7.2 + 1.8x = 25 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
7.2 + 1.8x + x = 25 + -1x + x

Combine like terms: 1.8x + x = 2.8x
7.2 + 2.8x = 25 + -1x + x

Combine like terms: -1x + x = 0
7.2 + 2.8x = 25 + 0
7.2 + 2.8x = 25

Add '-7.2' to each side of the equation.
7.2 + -7.2 + 2.8x = 25 + -7.2

Combine like terms: 7.2 + -7.2 = 0.0
0.0 + 2.8x = 25 + -7.2
2.8x = 25 + -7.2

Combine like terms: 25 + -7.2 = 17.8
2.8x = 17.8

Divide each side by '2.8'.
x = 6.357142857

Simplifying
x = 6.357142857

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