.10(x)+.18(50)=.15(x+50)

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Solution for .10(x)+.18(50)=.15(x+50) equation: 


Simplifying
0.10(x) + 0.18(50) = 0.15(x + 50)

Multiply 0.18 * 50
0.10x + 9 = 0.15(x + 50)

Reorder the terms:
9 + 0.10x = 0.15(x + 50)

Reorder the terms:
9 + 0.10x = 0.15(50 + x)
9 + 0.10x = (50 * 0.15 + x * 0.15)
9 + 0.10x = (7.5 + 0.15x)

Solving
9 + 0.10x = 7.5 + 0.15x

Solving for variable 'x'.

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

Add '-0.15x' to each side of the equation.
9 + 0.10x + -0.15x = 7.5 + 0.15x + -0.15x

Combine like terms: 0.10x + -0.15x = -0.05x
9 + -0.05x = 7.5 + 0.15x + -0.15x

Combine like terms: 0.15x + -0.15x = 0.00
9 + -0.05x = 7.5 + 0.00
9 + -0.05x = 7.5

Add '-9' to each side of the equation.
9 + -9 + -0.05x = 7.5 + -9

Combine like terms: 9 + -9 = 0
0 + -0.05x = 7.5 + -9
-0.05x = 7.5 + -9

Combine like terms: 7.5 + -9 = -1.5
-0.05x = -1.5

Divide each side by '-0.05'.
x = 30

Simplifying
x = 30

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