.3(3-4x)=.5(x+13)

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Solution for .3(3-4x)=.5(x+13) equation: 


Simplifying
0.3(3 + -4x) = 0.5(x + 13)
(3 * 0.3 + -4x * 0.3) = 0.5(x + 13)
(0.9 + -1.2x) = 0.5(x + 13)

Reorder the terms:
0.9 + -1.2x = 0.5(13 + x)
0.9 + -1.2x = (13 * 0.5 + x * 0.5)
0.9 + -1.2x = (6.5 + 0.5x)

Solving
0.9 + -1.2x = 6.5 + 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.
0.9 + -1.2x + -0.5x = 6.5 + 0.5x + -0.5x

Combine like terms: -1.2x + -0.5x = -1.7x
0.9 + -1.7x = 6.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
0.9 + -1.7x = 6.5 + 0.0
0.9 + -1.7x = 6.5

Add '-0.9' to each side of the equation.
0.9 + -0.9 + -1.7x = 6.5 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + -1.7x = 6.5 + -0.9
-1.7x = 6.5 + -0.9

Combine like terms: 6.5 + -0.9 = 5.6
-1.7x = 5.6

Divide each side by '-1.7'.
x = -3.294117647

Simplifying
x = -3.294117647

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