0.60x+0.15(90)=0.50(x+90)

Solution for 0.60x+0.15(90)=0.50(x+90) equation:

Simplifying
0.60x + 0.15(90) = 0.50(x + 90)

Multiply 0.15 * 90
0.60x + 13.5 = 0.50(x + 90)

Reorder the terms:
13.5 + 0.60x = 0.50(x + 90)

Reorder the terms:
13.5 + 0.60x = 0.50(90 + x)
13.5 + 0.60x = (90 * 0.50 + x * 0.50)
13.5 + 0.60x = (45 + 0.50x)

Solving
13.5 + 0.60x = 45 + 0.50x

Solving for variable 'x'.

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

Add '-0.50x' to each side of the equation.
13.5 + 0.60x + -0.50x = 45 + 0.50x + -0.50x

Combine like terms: 0.60x + -0.50x = 0.1x
13.5 + 0.1x = 45 + 0.50x + -0.50x

Combine like terms: 0.50x + -0.50x = 0.00
13.5 + 0.1x = 45 + 0.00
13.5 + 0.1x = 45

Add '-13.5' to each side of the equation.
13.5 + -13.5 + 0.1x = 45 + -13.5

Combine like terms: 13.5 + -13.5 = 0.0
0.0 + 0.1x = 45 + -13.5
0.1x = 45 + -13.5

Combine like terms: 45 + -13.5 = 31.5
0.1x = 31.5

Divide each side by '0.1'.
x = 315

Simplifying
x = 315