5x+(60-x)4+(60-x)4=312

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Solution for 5x+(60-x)4+(60-x)4=312 equation:


Simplifying
5x + (60 + -1x) * 4 + (60 + -1x) * 4 = 312

Reorder the terms for easier multiplication:
5x + 4(60 + -1x) + (60 + -1x) * 4 = 312
5x + (60 * 4 + -1x * 4) + (60 + -1x) * 4 = 312
5x + (240 + -4x) + (60 + -1x) * 4 = 312

Reorder the terms for easier multiplication:
5x + 240 + -4x + 4(60 + -1x) = 312
5x + 240 + -4x + (60 * 4 + -1x * 4) = 312
5x + 240 + -4x + (240 + -4x) = 312

Reorder the terms:
240 + 240 + 5x + -4x + -4x = 312

Combine like terms: 240 + 240 = 480
480 + 5x + -4x + -4x = 312

Combine like terms: 5x + -4x = 1x
480 + 1x + -4x = 312

Combine like terms: 1x + -4x = -3x
480 + -3x = 312

Solving
480 + -3x = 312

Solving for variable 'x'.

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

Add '-480' to each side of the equation.
480 + -480 + -3x = 312 + -480

Combine like terms: 480 + -480 = 0
0 + -3x = 312 + -480
-3x = 312 + -480

Combine like terms: 312 + -480 = -168
-3x = -168

Divide each side by '-3'.
x = 56

Simplifying
x = 56

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