800(.30)+3x=(800+x)*1.20

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Solution for 800(.30)+3x=(800+x)*1.20 equation: 


Simplifying
800(0.30) + 3x = (800 + x) * 1.20

Multiply 800 * 0.30
240 + 3x = (800 + x) * 1.20

Reorder the terms for easier multiplication:
240 + 3x = 1.20(800 + x)
240 + 3x = (800 * 1.20 + x * 1.20)
240 + 3x = (960 + 1.20x)

Solving
240 + 3x = 960 + 1.20x

Solving for variable 'x'.

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

Add '-1.20x' to each side of the equation.
240 + 3x + -1.20x = 960 + 1.20x + -1.20x

Combine like terms: 3x + -1.20x = 1.8x
240 + 1.8x = 960 + 1.20x + -1.20x

Combine like terms: 1.20x + -1.20x = 0.00
240 + 1.8x = 960 + 0.00
240 + 1.8x = 960

Add '-240' to each side of the equation.
240 + -240 + 1.8x = 960 + -240

Combine like terms: 240 + -240 = 0
0 + 1.8x = 960 + -240
1.8x = 960 + -240

Combine like terms: 960 + -240 = 720
1.8x = 720

Divide each side by '1.8'.
x = 400

Simplifying
x = 400

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