.13(4x-20)=.5x-6

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Solution for .13(4x-20)=.5x-6 equation:


Simplifying
0.13(4x + -20) = 0.5x + -6

Reorder the terms:
0.13(-20 + 4x) = 0.5x + -6
(-20 * 0.13 + 4x * 0.13) = 0.5x + -6
(-2.6 + 0.52x) = 0.5x + -6

Reorder the terms:
-2.6 + 0.52x = -6 + 0.5x

Solving
-2.6 + 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.
-2.6 + 0.52x + -0.5x = -6 + 0.5x + -0.5x

Combine like terms: 0.52x + -0.5x = 0.02x
-2.6 + 0.02x = -6 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-2.6 + 0.02x = -6 + 0.0
-2.6 + 0.02x = -6

Add '2.6' to each side of the equation.
-2.6 + 2.6 + 0.02x = -6 + 2.6

Combine like terms: -2.6 + 2.6 = 0.0
0.0 + 0.02x = -6 + 2.6
0.02x = -6 + 2.6

Combine like terms: -6 + 2.6 = -3.4
0.02x = -3.4

Divide each side by '0.02'.
x = -170

Simplifying
x = -170

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