3[5-(2x-5)]=72x+74

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Solution for 3[5-(2x-5)]=72x+74 equation:


Simplifying
3[5 + -1(2x + -5)] = 72x + 74

Reorder the terms:
3[5 + -1(-5 + 2x)] = 72x + 74
3[5 + (-5 * -1 + 2x * -1)] = 72x + 74
3[5 + (5 + -2x)] = 72x + 74

Combine like terms: 5 + 5 = 10
3[10 + -2x] = 72x + 74
[10 * 3 + -2x * 3] = 72x + 74
[30 + -6x] = 72x + 74

Reorder the terms:
30 + -6x = 74 + 72x

Solving
30 + -6x = 74 + 72x

Solving for variable 'x'.

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

Add '-72x' to each side of the equation.
30 + -6x + -72x = 74 + 72x + -72x

Combine like terms: -6x + -72x = -78x
30 + -78x = 74 + 72x + -72x

Combine like terms: 72x + -72x = 0
30 + -78x = 74 + 0
30 + -78x = 74

Add '-30' to each side of the equation.
30 + -30 + -78x = 74 + -30

Combine like terms: 30 + -30 = 0
0 + -78x = 74 + -30
-78x = 74 + -30

Combine like terms: 74 + -30 = 44
-78x = 44

Divide each side by '-78'.
x = -0.5641025641

Simplifying
x = -0.5641025641

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