.2(50)+.8x=.4(50+x)

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Solution for .2(50)+.8x=.4(50+x) equation: 


Simplifying
0.2(50) + 0.8x = 0.4(50 + x)

Multiply 0.2 * 50
10 + 0.8x = 0.4(50 + x)
10 + 0.8x = (50 * 0.4 + x * 0.4)
10 + 0.8x = (20 + 0.4x)

Solving
10 + 0.8x = 20 + 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.
10 + 0.8x + -0.4x = 20 + 0.4x + -0.4x

Combine like terms: 0.8x + -0.4x = 0.4x
10 + 0.4x = 20 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
10 + 0.4x = 20 + 0.0
10 + 0.4x = 20

Add '-10' to each side of the equation.
10 + -10 + 0.4x = 20 + -10

Combine like terms: 10 + -10 = 0
0 + 0.4x = 20 + -10
0.4x = 20 + -10

Combine like terms: 20 + -10 = 10
0.4x = 10

Divide each side by '0.4'.
x = 25

Simplifying
x = 25

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