0.9x-0.2(14-3x)=0.8(x-8)

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Solution for 0.9x-0.2(14-3x)=0.8(x-8) equation: 


Simplifying
0.9x + -0.2(14 + -3x) = 0.8(x + -8)
0.9x + (14 * -0.2 + -3x * -0.2) = 0.8(x + -8)
0.9x + (-2.8 + 0.6x) = 0.8(x + -8)

Reorder the terms:
-2.8 + 0.9x + 0.6x = 0.8(x + -8)

Combine like terms: 0.9x + 0.6x = 1.5x
-2.8 + 1.5x = 0.8(x + -8)

Reorder the terms:
-2.8 + 1.5x = 0.8(-8 + x)
-2.8 + 1.5x = (-8 * 0.8 + x * 0.8)
-2.8 + 1.5x = (-6.4 + 0.8x)

Solving
-2.8 + 1.5x = -6.4 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
-2.8 + 1.5x + -0.8x = -6.4 + 0.8x + -0.8x

Combine like terms: 1.5x + -0.8x = 0.7x
-2.8 + 0.7x = -6.4 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
-2.8 + 0.7x = -6.4 + 0.0
-2.8 + 0.7x = -6.4

Add '2.8' to each side of the equation.
-2.8 + 2.8 + 0.7x = -6.4 + 2.8

Combine like terms: -2.8 + 2.8 = 0.0
0.0 + 0.7x = -6.4 + 2.8
0.7x = -6.4 + 2.8

Combine like terms: -6.4 + 2.8 = -3.6
0.7x = -3.6

Divide each side by '0.7'.
x = -5.142857143

Simplifying
x = -5.142857143

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