12(x+5)=16(2x+5)

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Solution for 12(x+5)=16(2x+5) equation: 


Simplifying
12(x + 5) = 16(2x + 5)

Reorder the terms:
12(5 + x) = 16(2x + 5)
(5 * 12 + x * 12) = 16(2x + 5)
(60 + 12x) = 16(2x + 5)

Reorder the terms:
60 + 12x = 16(5 + 2x)
60 + 12x = (5 * 16 + 2x * 16)
60 + 12x = (80 + 32x)

Solving
60 + 12x = 80 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
60 + 12x + -32x = 80 + 32x + -32x

Combine like terms: 12x + -32x = -20x
60 + -20x = 80 + 32x + -32x

Combine like terms: 32x + -32x = 0
60 + -20x = 80 + 0
60 + -20x = 80

Add '-60' to each side of the equation.
60 + -60 + -20x = 80 + -60

Combine like terms: 60 + -60 = 0
0 + -20x = 80 + -60
-20x = 80 + -60

Combine like terms: 80 + -60 = 20
-20x = 20

Divide each side by '-20'.
x = -1

Simplifying
x = -1

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