12(3x+5)=(10x+8)

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Solution for 12(3x+5)=(10x+8) equation:


Simplifying
12(3x + 5) = (10x + 8)

Reorder the terms:
12(5 + 3x) = (10x + 8)
(5 * 12 + 3x * 12) = (10x + 8)
(60 + 36x) = (10x + 8)

Reorder the terms:
60 + 36x = (8 + 10x)

Remove parenthesis around (8 + 10x)
60 + 36x = 8 + 10x

Solving
60 + 36x = 8 + 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.
60 + 36x + -10x = 8 + 10x + -10x

Combine like terms: 36x + -10x = 26x
60 + 26x = 8 + 10x + -10x

Combine like terms: 10x + -10x = 0
60 + 26x = 8 + 0
60 + 26x = 8

Add '-60' to each side of the equation.
60 + -60 + 26x = 8 + -60

Combine like terms: 60 + -60 = 0
0 + 26x = 8 + -60
26x = 8 + -60

Combine like terms: 8 + -60 = -52
26x = -52

Divide each side by '26'.
x = -2

Simplifying
x = -2

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