0.9(2x-8)=4-(x+15)

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Solution for 0.9(2x-8)=4-(x+15) equation: 


Simplifying
0.9(2x + -8) = 4 + -1(x + 15)

Reorder the terms:
0.9(-8 + 2x) = 4 + -1(x + 15)
(-8 * 0.9 + 2x * 0.9) = 4 + -1(x + 15)
(-7.2 + 1.8x) = 4 + -1(x + 15)

Reorder the terms:
-7.2 + 1.8x = 4 + -1(15 + x)
-7.2 + 1.8x = 4 + (15 * -1 + x * -1)
-7.2 + 1.8x = 4 + (-15 + -1x)

Combine like terms: 4 + -15 = -11
-7.2 + 1.8x = -11 + -1x

Solving
-7.2 + 1.8x = -11 + -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 = -11 + -1x + x

Combine like terms: 1.8x + x = 2.8x
-7.2 + 2.8x = -11 + -1x + x

Combine like terms: -1x + x = 0
-7.2 + 2.8x = -11 + 0
-7.2 + 2.8x = -11

Add '7.2' to each side of the equation.
-7.2 + 7.2 + 2.8x = -11 + 7.2

Combine like terms: -7.2 + 7.2 = 0.0
0.0 + 2.8x = -11 + 7.2
2.8x = -11 + 7.2

Combine like terms: -11 + 7.2 = -3.8
2.8x = -3.8

Divide each side by '2.8'.
x = -1.357142857

Simplifying
x = -1.357142857

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