0.15x+0.40(150)=0.35(x+150)

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Solution for 0.15x+0.40(150)=0.35(x+150) equation: 


Simplifying
0.15x + 0.40(150) = 0.35(x + 150)

Multiply 0.40 * 150
0.15x + 60 = 0.35(x + 150)

Reorder the terms:
60 + 0.15x = 0.35(x + 150)

Reorder the terms:
60 + 0.15x = 0.35(150 + x)
60 + 0.15x = (150 * 0.35 + x * 0.35)
60 + 0.15x = (52.5 + 0.35x)

Solving
60 + 0.15x = 52.5 + 0.35x

Solving for variable 'x'.

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

Add '-0.35x' to each side of the equation.
60 + 0.15x + -0.35x = 52.5 + 0.35x + -0.35x

Combine like terms: 0.15x + -0.35x = -0.2x
60 + -0.2x = 52.5 + 0.35x + -0.35x

Combine like terms: 0.35x + -0.35x = 0.00
60 + -0.2x = 52.5 + 0.00
60 + -0.2x = 52.5

Add '-60' to each side of the equation.
60 + -60 + -0.2x = 52.5 + -60

Combine like terms: 60 + -60 = 0
0 + -0.2x = 52.5 + -60
-0.2x = 52.5 + -60

Combine like terms: 52.5 + -60 = -7.5
-0.2x = -7.5

Divide each side by '-0.2'.
x = 37.5

Simplifying
x = 37.5

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