8*(x+2)+20=5*(x+12)

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Solution for 8*(x+2)+20=5*(x+12) equation:


Simplifying
8(x + 2) + 20 = 5(x + 12)

Reorder the terms:
8(2 + x) + 20 = 5(x + 12)
(2 * 8 + x * 8) + 20 = 5(x + 12)
(16 + 8x) + 20 = 5(x + 12)

Reorder the terms:
16 + 20 + 8x = 5(x + 12)

Combine like terms: 16 + 20 = 36
36 + 8x = 5(x + 12)

Reorder the terms:
36 + 8x = 5(12 + x)
36 + 8x = (12 * 5 + x * 5)
36 + 8x = (60 + 5x)

Solving
36 + 8x = 60 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
36 + 8x + -5x = 60 + 5x + -5x

Combine like terms: 8x + -5x = 3x
36 + 3x = 60 + 5x + -5x

Combine like terms: 5x + -5x = 0
36 + 3x = 60 + 0
36 + 3x = 60

Add '-36' to each side of the equation.
36 + -36 + 3x = 60 + -36

Combine like terms: 36 + -36 = 0
0 + 3x = 60 + -36
3x = 60 + -36

Combine like terms: 60 + -36 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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