5.8-0.3(x-6.0)=0.5x

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Solution for 5.8-0.3(x-6.0)=0.5x equation:


Simplifying
5.8 + -0.3(x + -6.0) = 0.5x

Reorder the terms:
5.8 + -0.3(-6.0 + x) = 0.5x
5.8 + (-6.0 * -0.3 + x * -0.3) = 0.5x
5.8 + (1.8 + -0.3x) = 0.5x

Combine like terms: 5.8 + 1.8 = 7.6
7.6 + -0.3x = 0.5x

Solving
7.6 + -0.3x = 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.
7.6 + -0.3x + -0.5x = 0.5x + -0.5x

Combine like terms: -0.3x + -0.5x = -0.8x
7.6 + -0.8x = 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
7.6 + -0.8x = 0.0

Add '-7.6' to each side of the equation.
7.6 + -7.6 + -0.8x = 0.0 + -7.6

Combine like terms: 7.6 + -7.6 = 0.0
0.0 + -0.8x = 0.0 + -7.6
-0.8x = 0.0 + -7.6

Combine like terms: 0.0 + -7.6 = -7.6
-0.8x = -7.6

Divide each side by '-0.8'.
x = 9.5

Simplifying
x = 9.5

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