.2x-0.7(2-2x)=-9(x-4)

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Solution for .2x-0.7(2-2x)=-9(x-4) equation: 


Simplifying
0.2x + -0.7(2 + -2x) = -9(x + -4)
0.2x + (2 * -0.7 + -2x * -0.7) = -9(x + -4)
0.2x + (-1.4 + 1.4x) = -9(x + -4)

Reorder the terms:
-1.4 + 0.2x + 1.4x = -9(x + -4)

Combine like terms: 0.2x + 1.4x = 1.6x
-1.4 + 1.6x = -9(x + -4)

Reorder the terms:
-1.4 + 1.6x = -9(-4 + x)
-1.4 + 1.6x = (-4 * -9 + x * -9)
-1.4 + 1.6x = (36 + -9x)

Solving
-1.4 + 1.6x = 36 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-1.4 + 1.6x + 9x = 36 + -9x + 9x

Combine like terms: 1.6x + 9x = 10.6x
-1.4 + 10.6x = 36 + -9x + 9x

Combine like terms: -9x + 9x = 0
-1.4 + 10.6x = 36 + 0
-1.4 + 10.6x = 36

Add '1.4' to each side of the equation.
-1.4 + 1.4 + 10.6x = 36 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + 10.6x = 36 + 1.4
10.6x = 36 + 1.4

Combine like terms: 36 + 1.4 = 37.4
10.6x = 37.4

Divide each side by '10.6'.
x = 3.528301887

Simplifying
x = 3.528301887

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