3*(x-6)+72=(2x+1)*5

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Solution for 3*(x-6)+72=(2x+1)*5 equation:


Simplifying
3(x + -6) + 72 = (2x + 1) * 5

Reorder the terms:
3(-6 + x) + 72 = (2x + 1) * 5
(-6 * 3 + x * 3) + 72 = (2x + 1) * 5
(-18 + 3x) + 72 = (2x + 1) * 5

Reorder the terms:
-18 + 72 + 3x = (2x + 1) * 5

Combine like terms: -18 + 72 = 54
54 + 3x = (2x + 1) * 5

Reorder the terms:
54 + 3x = (1 + 2x) * 5

Reorder the terms for easier multiplication:
54 + 3x = 5(1 + 2x)
54 + 3x = (1 * 5 + 2x * 5)
54 + 3x = (5 + 10x)

Solving
54 + 3x = 5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
54 + 3x + -10x = 5 + 10x + -10x

Combine like terms: 3x + -10x = -7x
54 + -7x = 5 + 10x + -10x

Combine like terms: 10x + -10x = 0
54 + -7x = 5 + 0
54 + -7x = 5

Add '-54' to each side of the equation.
54 + -54 + -7x = 5 + -54

Combine like terms: 54 + -54 = 0
0 + -7x = 5 + -54
-7x = 5 + -54

Combine like terms: 5 + -54 = -49
-7x = -49

Divide each side by '-7'.
x = 7

Simplifying
x = 7

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