.8x+.12(260-x)=.48x

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Solution for .8x+.12(260-x)=.48x equation:


Simplifying
0.8x + 0.12(260 + -1x) = 0.48x
0.8x + (260 * 0.12 + -1x * 0.12) = 0.48x
0.8x + (31.2 + -0.12x) = 0.48x

Reorder the terms:
31.2 + 0.8x + -0.12x = 0.48x

Combine like terms: 0.8x + -0.12x = 0.68x
31.2 + 0.68x = 0.48x

Solving
31.2 + 0.68x = 0.48x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.48x' to each side of the equation.
31.2 + 0.68x + -0.48x = 0.48x + -0.48x

Combine like terms: 0.68x + -0.48x = 0.2x
31.2 + 0.2x = 0.48x + -0.48x

Combine like terms: 0.48x + -0.48x = 0.00
31.2 + 0.2x = 0.00

Add '-31.2' to each side of the equation.
31.2 + -31.2 + 0.2x = 0.00 + -31.2

Combine like terms: 31.2 + -31.2 = 0.0
0.0 + 0.2x = 0.00 + -31.2
0.2x = 0.00 + -31.2

Combine like terms: 0.00 + -31.2 = -31.2
0.2x = -31.2

Divide each side by '0.2'.
x = -156

Simplifying
x = -156

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