.7x-.2(7-5x)=.5(x-6)

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Solution for .7x-.2(7-5x)=.5(x-6) equation: 


Simplifying
0.7x + -0.2(7 + -5x) = 0.5(x + -6)
0.7x + (7 * -0.2 + -5x * -0.2) = 0.5(x + -6)
0.7x + (-1.4 + 1x) = 0.5(x + -6)

Reorder the terms:
-1.4 + 0.7x + 1x = 0.5(x + -6)

Combine like terms: 0.7x + 1x = 1.7x
-1.4 + 1.7x = 0.5(x + -6)

Reorder the terms:
-1.4 + 1.7x = 0.5(-6 + x)
-1.4 + 1.7x = (-6 * 0.5 + x * 0.5)
-1.4 + 1.7x = (-3 + 0.5x)

Solving
-1.4 + 1.7x = -3 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
-1.4 + 1.7x + -0.5x = -3 + 0.5x + -0.5x

Combine like terms: 1.7x + -0.5x = 1.2x
-1.4 + 1.2x = -3 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-1.4 + 1.2x = -3 + 0.0
-1.4 + 1.2x = -3

Add '1.4' to each side of the equation.
-1.4 + 1.4 + 1.2x = -3 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + 1.2x = -3 + 1.4
1.2x = -3 + 1.4

Combine like terms: -3 + 1.4 = -1.6
1.2x = -1.6

Divide each side by '1.2'.
x = -1.333333333

Simplifying
x = -1.333333333

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