0.30x+0.60(100)=0.40(100+x)

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Solution for 0.30x+0.60(100)=0.40(100+x) equation: 


Simplifying
0.30x + 0.60(100) = 0.40(100 + x)

Multiply 0.60 * 100
0.30x + 60 = 0.40(100 + x)

Reorder the terms:
60 + 0.30x = 0.40(100 + x)
60 + 0.30x = (100 * 0.40 + x * 0.40)
60 + 0.30x = (40 + 0.40x)

Solving
60 + 0.30x = 40 + 0.40x

Solving for variable 'x'.

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

Add '-0.40x' to each side of the equation.
60 + 0.30x + -0.40x = 40 + 0.40x + -0.40x

Combine like terms: 0.30x + -0.40x = -0.1x
60 + -0.1x = 40 + 0.40x + -0.40x

Combine like terms: 0.40x + -0.40x = 0.00
60 + -0.1x = 40 + 0.00
60 + -0.1x = 40

Add '-60' to each side of the equation.
60 + -60 + -0.1x = 40 + -60

Combine like terms: 60 + -60 = 0
0 + -0.1x = 40 + -60
-0.1x = 40 + -60

Combine like terms: 40 + -60 = -20
-0.1x = -20

Divide each side by '-0.1'.
x = 200

Simplifying
x = 200

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