0.08x+.12(260-x)=0.48x

Solution for 0.08x+.12(260-x)=0.48x equation:

Simplifying
0.08x + 0.12(260 + -1x) = 0.48x
0.08x + (260 * 0.12 + -1x * 0.12) = 0.48x
0.08x + (31.2 + -0.12x) = 0.48x

Reorder the terms:
31.2 + 0.08x + -0.12x = 0.48x

Combine like terms: 0.08x + -0.12x = -0.04x
31.2 + -0.04x = 0.48x

Solving
31.2 + -0.04x = 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 + -0.04x + -0.48x = 0.48x + -0.48x

Combine like terms: -0.04x + -0.48x = -0.52x
31.2 + -0.52x = 0.48x + -0.48x

Combine like terms: 0.48x + -0.48x = 0.00
31.2 + -0.52x = 0.00

Add '-31.2' to each side of the equation.
31.2 + -31.2 + -0.52x = 0.00 + -31.2

Combine like terms: 31.2 + -31.2 = 0.0
0.0 + -0.52x = 0.00 + -31.2
-0.52x = 0.00 + -31.2

Combine like terms: 0.00 + -31.2 = -31.2
-0.52x = -31.2

Divide each side by '-0.52'.
x = 60

Simplifying
x = 60