10(x+80)+.20x+2=10+.30x

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Solution for 10(x+80)+.20x+2=10+.30x equation:


Simplifying
10(x + 80) + 0.20x + 2 = 10 + 0.30x

Reorder the terms:
10(80 + x) + 0.20x + 2 = 10 + 0.30x
(80 * 10 + x * 10) + 0.20x + 2 = 10 + 0.30x
(800 + 10x) + 0.20x + 2 = 10 + 0.30x

Reorder the terms:
800 + 2 + 10x + 0.20x = 10 + 0.30x

Combine like terms: 800 + 2 = 802
802 + 10x + 0.20x = 10 + 0.30x

Combine like terms: 10x + 0.20x = 10.2x
802 + 10.2x = 10 + 0.30x

Solving
802 + 10.2x = 10 + 0.30x

Solving for variable 'x'.

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

Add '-0.30x' to each side of the equation.
802 + 10.2x + -0.30x = 10 + 0.30x + -0.30x

Combine like terms: 10.2x + -0.30x = 9.9x
802 + 9.9x = 10 + 0.30x + -0.30x

Combine like terms: 0.30x + -0.30x = 0.00
802 + 9.9x = 10 + 0.00
802 + 9.9x = 10

Add '-802' to each side of the equation.
802 + -802 + 9.9x = 10 + -802

Combine like terms: 802 + -802 = 0
0 + 9.9x = 10 + -802
9.9x = 10 + -802

Combine like terms: 10 + -802 = -792
9.9x = -792

Divide each side by '9.9'.
x = -80

Simplifying
x = -80

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