40*(x+10)-30*x=480

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Solution for 40*(x+10)-30*x=480 equation: 


Simplifying
40(x + 10) + -30x = 480

Reorder the terms:
40(10 + x) + -30x = 480
(10 * 40 + x * 40) + -30x = 480
(400 + 40x) + -30x = 480

Combine like terms: 40x + -30x = 10x
400 + 10x = 480

Solving
400 + 10x = 480

Solving for variable 'x'.

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

Add '-400' to each side of the equation.
400 + -400 + 10x = 480 + -400

Combine like terms: 400 + -400 = 0
0 + 10x = 480 + -400
10x = 480 + -400

Combine like terms: 480 + -400 = 80
10x = 80

Divide each side by '10'.
x = 8

Simplifying
x = 8

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