100x+80=120x-(40x-300)

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Solution for 100x+80=120x-(40x-300) equation:


Simplifying
100x + 80 = 120x + -1(40x + -300)

Reorder the terms:
80 + 100x = 120x + -1(40x + -300)

Reorder the terms:
80 + 100x = 120x + -1(-300 + 40x)
80 + 100x = 120x + (-300 * -1 + 40x * -1)
80 + 100x = 120x + (300 + -40x)

Reorder the terms:
80 + 100x = 300 + 120x + -40x

Combine like terms: 120x + -40x = 80x
80 + 100x = 300 + 80x

Solving
80 + 100x = 300 + 80x

Solving for variable 'x'.

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

Add '-80x' to each side of the equation.
80 + 100x + -80x = 300 + 80x + -80x

Combine like terms: 100x + -80x = 20x
80 + 20x = 300 + 80x + -80x

Combine like terms: 80x + -80x = 0
80 + 20x = 300 + 0
80 + 20x = 300

Add '-80' to each side of the equation.
80 + -80 + 20x = 300 + -80

Combine like terms: 80 + -80 = 0
0 + 20x = 300 + -80
20x = 300 + -80

Combine like terms: 300 + -80 = 220
20x = 220

Divide each side by '20'.
x = 11

Simplifying
x = 11

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