0.50x+0.10(100)=0.40(x+100)

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Solution for 0.50x+0.10(100)=0.40(x+100) equation: 


Simplifying
0.50x + 0.10(100) = 0.40(x + 100)

Multiply 0.10 * 100
0.50x + 10 = 0.40(x + 100)

Reorder the terms:
10 + 0.50x = 0.40(x + 100)

Reorder the terms:
10 + 0.50x = 0.40(100 + x)
10 + 0.50x = (100 * 0.40 + x * 0.40)
10 + 0.50x = (40 + 0.40x)

Solving
10 + 0.50x = 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.
10 + 0.50x + -0.40x = 40 + 0.40x + -0.40x

Combine like terms: 0.50x + -0.40x = 0.1x
10 + 0.1x = 40 + 0.40x + -0.40x

Combine like terms: 0.40x + -0.40x = 0.00
10 + 0.1x = 40 + 0.00
10 + 0.1x = 40

Add '-10' to each side of the equation.
10 + -10 + 0.1x = 40 + -10

Combine like terms: 10 + -10 = 0
0 + 0.1x = 40 + -10
0.1x = 40 + -10

Combine like terms: 40 + -10 = 30
0.1x = 30

Divide each side by '0.1'.
x = 300

Simplifying
x = 300

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