x*6+(62-x)*10=480

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Solution for x*6+(62-x)*10=480 equation:


Simplifying
x * 6 + (62 + -1x) * 10 = 480

Reorder the terms for easier multiplication:
6x + (62 + -1x) * 10 = 480

Reorder the terms for easier multiplication:
6x + 10(62 + -1x) = 480
6x + (62 * 10 + -1x * 10) = 480
6x + (620 + -10x) = 480

Reorder the terms:
620 + 6x + -10x = 480

Combine like terms: 6x + -10x = -4x
620 + -4x = 480

Solving
620 + -4x = 480

Solving for variable 'x'.

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

Add '-620' to each side of the equation.
620 + -620 + -4x = 480 + -620

Combine like terms: 620 + -620 = 0
0 + -4x = 480 + -620
-4x = 480 + -620

Combine like terms: 480 + -620 = -140
-4x = -140

Divide each side by '-4'.
x = 35

Simplifying
x = 35

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