10(2x-6)=12(x+5)

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Solution for 10(2x-6)=12(x+5) equation:


Simplifying
10(2x + -6) = 12(x + 5)

Reorder the terms:
10(-6 + 2x) = 12(x + 5)
(-6 * 10 + 2x * 10) = 12(x + 5)
(-60 + 20x) = 12(x + 5)

Reorder the terms:
-60 + 20x = 12(5 + x)
-60 + 20x = (5 * 12 + x * 12)
-60 + 20x = (60 + 12x)

Solving
-60 + 20x = 60 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-60 + 20x + -12x = 60 + 12x + -12x

Combine like terms: 20x + -12x = 8x
-60 + 8x = 60 + 12x + -12x

Combine like terms: 12x + -12x = 0
-60 + 8x = 60 + 0
-60 + 8x = 60

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

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

Combine like terms: 60 + 60 = 120
8x = 120

Divide each side by '8'.
x = 15

Simplifying
x = 15

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