.8x-.2(17-4x)=-.7(x-5)

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Solution for .8x-.2(17-4x)=-.7(x-5) equation: 


Simplifying
0.8x + -0.2(17 + -4x) = -0.7(x + -5)
0.8x + (17 * -0.2 + -4x * -0.2) = -0.7(x + -5)
0.8x + (-3.4 + 0.8x) = -0.7(x + -5)

Reorder the terms:
-3.4 + 0.8x + 0.8x = -0.7(x + -5)

Combine like terms: 0.8x + 0.8x = 1.6x
-3.4 + 1.6x = -0.7(x + -5)

Reorder the terms:
-3.4 + 1.6x = -0.7(-5 + x)
-3.4 + 1.6x = (-5 * -0.7 + x * -0.7)
-3.4 + 1.6x = (3.5 + -0.7x)

Solving
-3.4 + 1.6x = 3.5 + -0.7x

Solving for variable 'x'.

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

Add '0.7x' to each side of the equation.
-3.4 + 1.6x + 0.7x = 3.5 + -0.7x + 0.7x

Combine like terms: 1.6x + 0.7x = 2.3x
-3.4 + 2.3x = 3.5 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
-3.4 + 2.3x = 3.5 + 0.0
-3.4 + 2.3x = 3.5

Add '3.4' to each side of the equation.
-3.4 + 3.4 + 2.3x = 3.5 + 3.4

Combine like terms: -3.4 + 3.4 = 0.0
0.0 + 2.3x = 3.5 + 3.4
2.3x = 3.5 + 3.4

Combine like terms: 3.5 + 3.4 = 6.9
2.3x = 6.9

Divide each side by '2.3'.
x = 3

Simplifying
x = 3

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