-1.3(2x-4)+2x=0.7(3-x)

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Solution for -1.3(2x-4)+2x=0.7(3-x) equation: 


Simplifying
-1.3(2x + -4) + 2x = 0.7(3 + -1x)

Reorder the terms:
-1.3(-4 + 2x) + 2x = 0.7(3 + -1x)
(-4 * -1.3 + 2x * -1.3) + 2x = 0.7(3 + -1x)
(5.2 + -2.6x) + 2x = 0.7(3 + -1x)

Combine like terms: -2.6x + 2x = -0.6x
5.2 + -0.6x = 0.7(3 + -1x)
5.2 + -0.6x = (3 * 0.7 + -1x * 0.7)
5.2 + -0.6x = (2.1 + -0.7x)

Solving
5.2 + -0.6x = 2.1 + -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.
5.2 + -0.6x + 0.7x = 2.1 + -0.7x + 0.7x

Combine like terms: -0.6x + 0.7x = 0.1x
5.2 + 0.1x = 2.1 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
5.2 + 0.1x = 2.1 + 0.0
5.2 + 0.1x = 2.1

Add '-5.2' to each side of the equation.
5.2 + -5.2 + 0.1x = 2.1 + -5.2

Combine like terms: 5.2 + -5.2 = 0.0
0.0 + 0.1x = 2.1 + -5.2
0.1x = 2.1 + -5.2

Combine like terms: 2.1 + -5.2 = -3.1
0.1x = -3.1

Divide each side by '0.1'.
x = -31

Simplifying
x = -31

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