-0.3(2x-5)=0.7(7-x)

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Solution for -0.3(2x-5)=0.7(7-x) equation: 


Simplifying
-0.3(2x + -5) = 0.7(7 + -1x)

Reorder the terms:
-0.3(-5 + 2x) = 0.7(7 + -1x)
(-5 * -0.3 + 2x * -0.3) = 0.7(7 + -1x)
(1.5 + -0.6x) = 0.7(7 + -1x)
1.5 + -0.6x = (7 * 0.7 + -1x * 0.7)
1.5 + -0.6x = (4.9 + -0.7x)

Solving
1.5 + -0.6x = 4.9 + -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.
1.5 + -0.6x + 0.7x = 4.9 + -0.7x + 0.7x

Combine like terms: -0.6x + 0.7x = 0.1x
1.5 + 0.1x = 4.9 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
1.5 + 0.1x = 4.9 + 0.0
1.5 + 0.1x = 4.9

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 0.1x = 4.9 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.1x = 4.9 + -1.5
0.1x = 4.9 + -1.5

Combine like terms: 4.9 + -1.5 = 3.4
0.1x = 3.4

Divide each side by '0.1'.
x = 34

Simplifying
x = 34

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