1.20(500)+.80x=1.05(500+x)

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Solution for 1.20(500)+.80x=1.05(500+x) equation:


Simplifying
1.20(500) + 0.80x = 1.05(500 + x)

Multiply 1.20 * 500
600 + 0.80x = 1.05(500 + x)
600 + 0.80x = (500 * 1.05 + x * 1.05)
600 + 0.80x = (525 + 1.05x)

Solving
600 + 0.80x = 525 + 1.05x

Solving for variable 'x'.

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

Add '-1.05x' to each side of the equation.
600 + 0.80x + -1.05x = 525 + 1.05x + -1.05x

Combine like terms: 0.80x + -1.05x = -0.25x
600 + -0.25x = 525 + 1.05x + -1.05x

Combine like terms: 1.05x + -1.05x = 0.00
600 + -0.25x = 525 + 0.00
600 + -0.25x = 525

Add '-600' to each side of the equation.
600 + -600 + -0.25x = 525 + -600

Combine like terms: 600 + -600 = 0
0 + -0.25x = 525 + -600
-0.25x = 525 + -600

Combine like terms: 525 + -600 = -75
-0.25x = -75

Divide each side by '-0.25'.
x = 300

Simplifying
x = 300

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