0.80x+0.30(500)=0.40(500+x)

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Solution for 0.80x+0.30(500)=0.40(500+x) equation: 


Simplifying
0.80x + 0.30(500) = 0.40(500 + x)

Multiply 0.30 * 500
0.80x + 150 = 0.40(500 + x)

Reorder the terms:
150 + 0.80x = 0.40(500 + x)
150 + 0.80x = (500 * 0.40 + x * 0.40)
150 + 0.80x = (200 + 0.40x)

Solving
150 + 0.80x = 200 + 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.
150 + 0.80x + -0.40x = 200 + 0.40x + -0.40x

Combine like terms: 0.80x + -0.40x = 0.4x
150 + 0.4x = 200 + 0.40x + -0.40x

Combine like terms: 0.40x + -0.40x = 0.00
150 + 0.4x = 200 + 0.00
150 + 0.4x = 200

Add '-150' to each side of the equation.
150 + -150 + 0.4x = 200 + -150

Combine like terms: 150 + -150 = 0
0 + 0.4x = 200 + -150
0.4x = 200 + -150

Combine like terms: 200 + -150 = 50
0.4x = 50

Divide each side by '0.4'.
x = 125

Simplifying
x = 125

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