12(x+-5)=16(x+-7)

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Solution for 12(x+-5)=16(x+-7) equation: 


Simplifying
12(x + -5) = 16(x + -7)

Reorder the terms:
12(-5 + x) = 16(x + -7)
(-5 * 12 + x * 12) = 16(x + -7)
(-60 + 12x) = 16(x + -7)

Reorder the terms:
-60 + 12x = 16(-7 + x)
-60 + 12x = (-7 * 16 + x * 16)
-60 + 12x = (-112 + 16x)

Solving
-60 + 12x = -112 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-60 + 12x + -16x = -112 + 16x + -16x

Combine like terms: 12x + -16x = -4x
-60 + -4x = -112 + 16x + -16x

Combine like terms: 16x + -16x = 0
-60 + -4x = -112 + 0
-60 + -4x = -112

Add '60' to each side of the equation.
-60 + 60 + -4x = -112 + 60

Combine like terms: -60 + 60 = 0
0 + -4x = -112 + 60
-4x = -112 + 60

Combine like terms: -112 + 60 = -52
-4x = -52

Divide each side by '-4'.
x = 13

Simplifying
x = 13

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