0.9(2x-8)=21.4-(x+3)

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Solution for 0.9(2x-8)=21.4-(x+3) equation: 


Simplifying
0.9(2x + -8) = 21.4 + -1(x + 3)

Reorder the terms:
0.9(-8 + 2x) = 21.4 + -1(x + 3)
(-8 * 0.9 + 2x * 0.9) = 21.4 + -1(x + 3)
(-7.2 + 1.8x) = 21.4 + -1(x + 3)

Reorder the terms:
-7.2 + 1.8x = 21.4 + -1(3 + x)
-7.2 + 1.8x = 21.4 + (3 * -1 + x * -1)
-7.2 + 1.8x = 21.4 + (-3 + -1x)

Combine like terms: 21.4 + -3 = 18.4
-7.2 + 1.8x = 18.4 + -1x

Solving
-7.2 + 1.8x = 18.4 + -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 = 18.4 + -1x + x

Combine like terms: 1.8x + x = 2.8x
-7.2 + 2.8x = 18.4 + -1x + x

Combine like terms: -1x + x = 0
-7.2 + 2.8x = 18.4 + 0
-7.2 + 2.8x = 18.4

Add '7.2' to each side of the equation.
-7.2 + 7.2 + 2.8x = 18.4 + 7.2

Combine like terms: -7.2 + 7.2 = 0.0
0.0 + 2.8x = 18.4 + 7.2
2.8x = 18.4 + 7.2

Combine like terms: 18.4 + 7.2 = 25.6
2.8x = 25.6

Divide each side by '2.8'.
x = 9.142857143

Simplifying
x = 9.142857143

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