.13(-4x+2)=.5x+6

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Solution for .13(-4x+2)=.5x+6 equation: 


Simplifying
0.13(-4x + 2) = 0.5x + 6

Reorder the terms:
0.13(2 + -4x) = 0.5x + 6
(2 * 0.13 + -4x * 0.13) = 0.5x + 6
(0.26 + -0.52x) = 0.5x + 6

Reorder the terms:
0.26 + -0.52x = 6 + 0.5x

Solving
0.26 + -0.52x = 6 + 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.
0.26 + -0.52x + -0.5x = 6 + 0.5x + -0.5x

Combine like terms: -0.52x + -0.5x = -1.02x
0.26 + -1.02x = 6 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
0.26 + -1.02x = 6 + 0.0
0.26 + -1.02x = 6

Add '-0.26' to each side of the equation.
0.26 + -0.26 + -1.02x = 6 + -0.26

Combine like terms: 0.26 + -0.26 = 0.00
0.00 + -1.02x = 6 + -0.26
-1.02x = 6 + -0.26

Combine like terms: 6 + -0.26 = 5.74
-1.02x = 5.74

Divide each side by '-1.02'.
x = -5.62745098

Simplifying
x = -5.62745098

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