.30x+.70(x-150)=.50(150)

Solution for .30x+.70(x-150)=.50(150) equation:

Simplifying
0.30x + 0.70(x + -150) = 0.50(150)

Reorder the terms:
0.30x + 0.70(-150 + x) = 0.50(150)
0.30x + (-150 * 0.70 + x * 0.70) = 0.50(150)
0.30x + (-105 + 0.70x) = 0.50(150)

Reorder the terms:
-105 + 0.30x + 0.70x = 0.50(150)

Combine like terms: 0.30x + 0.70x = 1x
-105 + 1x = 0.50(150)

Multiply 0.50 * 150
-105 + 1x = 75

Solving
-105 + 1x = 75

Solving for variable 'x'.

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

Add '105' to each side of the equation.
-105 + 105 + 1x = 75 + 105

Combine like terms: -105 + 105 = 0
0 + 1x = 75 + 105
1x = 75 + 105

Combine like terms: 75 + 105 = 180
1x = 180

Divide each side by '1'.
x = 180

Simplifying
x = 180