0.5x+0.15(100)=0.4(x+100)

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Solution for 0.5x+0.15(100)=0.4(x+100) equation: 


Simplifying
0.5x + 0.15(100) = 0.4(x + 100)

Multiply 0.15 * 100
0.5x + 15 = 0.4(x + 100)

Reorder the terms:
15 + 0.5x = 0.4(x + 100)

Reorder the terms:
15 + 0.5x = 0.4(100 + x)
15 + 0.5x = (100 * 0.4 + x * 0.4)
15 + 0.5x = (40 + 0.4x)

Solving
15 + 0.5x = 40 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
15 + 0.5x + -0.4x = 40 + 0.4x + -0.4x

Combine like terms: 0.5x + -0.4x = 0.1x
15 + 0.1x = 40 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
15 + 0.1x = 40 + 0.0
15 + 0.1x = 40

Add '-15' to each side of the equation.
15 + -15 + 0.1x = 40 + -15

Combine like terms: 15 + -15 = 0
0 + 0.1x = 40 + -15
0.1x = 40 + -15

Combine like terms: 40 + -15 = 25
0.1x = 25

Divide each side by '0.1'.
x = 250

Simplifying
x = 250

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