10(14x+36)=480+100x

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Solution for 10(14x+36)=480+100x equation:


Simplifying
10(14x + 36) = 480 + 100x

Reorder the terms:
10(36 + 14x) = 480 + 100x
(36 * 10 + 14x * 10) = 480 + 100x
(360 + 140x) = 480 + 100x

Solving
360 + 140x = 480 + 100x

Solving for variable 'x'.

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

Add '-100x' to each side of the equation.
360 + 140x + -100x = 480 + 100x + -100x

Combine like terms: 140x + -100x = 40x
360 + 40x = 480 + 100x + -100x

Combine like terms: 100x + -100x = 0
360 + 40x = 480 + 0
360 + 40x = 480

Add '-360' to each side of the equation.
360 + -360 + 40x = 480 + -360

Combine like terms: 360 + -360 = 0
0 + 40x = 480 + -360
40x = 480 + -360

Combine like terms: 480 + -360 = 120
40x = 120

Divide each side by '40'.
x = 3

Simplifying
x = 3

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