0.3(2x-8)=0.7(7-x)

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Solution for 0.3(2x-8)=0.7(7-x) equation: 


Simplifying
0.3(2x + -8) = 0.7(7 + -1x)

Reorder the terms:
0.3(-8 + 2x) = 0.7(7 + -1x)
(-8 * 0.3 + 2x * 0.3) = 0.7(7 + -1x)
(-2.4 + 0.6x) = 0.7(7 + -1x)
-2.4 + 0.6x = (7 * 0.7 + -1x * 0.7)
-2.4 + 0.6x = (4.9 + -0.7x)

Solving
-2.4 + 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.
-2.4 + 0.6x + 0.7x = 4.9 + -0.7x + 0.7x

Combine like terms: 0.6x + 0.7x = 1.3x
-2.4 + 1.3x = 4.9 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
-2.4 + 1.3x = 4.9 + 0.0
-2.4 + 1.3x = 4.9

Add '2.4' to each side of the equation.
-2.4 + 2.4 + 1.3x = 4.9 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + 1.3x = 4.9 + 2.4
1.3x = 4.9 + 2.4

Combine like terms: 4.9 + 2.4 = 7.3
1.3x = 7.3

Divide each side by '1.3'.
x = 5.615384615

Simplifying
x = 5.615384615

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