.11x+.2(24+x)=.15(24)

Solution for .11x+.2(24+x)=.15(24) equation:

Simplifying
0.11x + 0.2(24 + x) = 0.15(24)
0.11x + (24 * 0.2 + x * 0.2) = 0.15(24)
0.11x + (4.8 + 0.2x) = 0.15(24)

Reorder the terms:
4.8 + 0.11x + 0.2x = 0.15(24)

Combine like terms: 0.11x + 0.2x = 0.31x
4.8 + 0.31x = 0.15(24)

Multiply 0.15 * 24
4.8 + 0.31x = 3.6

Solving
4.8 + 0.31x = 3.6

Solving for variable 'x'.

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

Add '-4.8' to each side of the equation.
4.8 + -4.8 + 0.31x = 3.6 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + 0.31x = 3.6 + -4.8
0.31x = 3.6 + -4.8

Combine like terms: 3.6 + -4.8 = -1.2
0.31x = -1.2

Divide each side by '0.31'.
x = -3.870967742

Simplifying
x = -3.870967742