.08(50)+0.40x=0.20(50+x)

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Solution for .08(50)+0.40x=0.20(50+x) equation: 


Simplifying
0.08(50) + 0.40x = 0.20(50 + x)

Multiply 0.08 * 50
4 + 0.40x = 0.20(50 + x)
4 + 0.40x = (50 * 0.20 + x * 0.20)
4 + 0.40x = (10 + 0.20x)

Solving
4 + 0.40x = 10 + 0.20x

Solving for variable 'x'.

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

Add '-0.20x' to each side of the equation.
4 + 0.40x + -0.20x = 10 + 0.20x + -0.20x

Combine like terms: 0.40x + -0.20x = 0.2x
4 + 0.2x = 10 + 0.20x + -0.20x

Combine like terms: 0.20x + -0.20x = 0.00
4 + 0.2x = 10 + 0.00
4 + 0.2x = 10

Add '-4' to each side of the equation.
4 + -4 + 0.2x = 10 + -4

Combine like terms: 4 + -4 = 0
0 + 0.2x = 10 + -4
0.2x = 10 + -4

Combine like terms: 10 + -4 = 6
0.2x = 6

Divide each side by '0.2'.
x = 30

Simplifying
x = 30

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