10(x+6)=8(2x+6)

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Solution for 10(x+6)=8(2x+6) equation:


Simplifying
10(x + 6) = 8(2x + 6)

Reorder the terms:
10(6 + x) = 8(2x + 6)
(6 * 10 + x * 10) = 8(2x + 6)
(60 + 10x) = 8(2x + 6)

Reorder the terms:
60 + 10x = 8(6 + 2x)
60 + 10x = (6 * 8 + 2x * 8)
60 + 10x = (48 + 16x)

Solving
60 + 10x = 48 + 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 + 10x + -16x = 48 + 16x + -16x

Combine like terms: 10x + -16x = -6x
60 + -6x = 48 + 16x + -16x

Combine like terms: 16x + -16x = 0
60 + -6x = 48 + 0
60 + -6x = 48

Add '-60' to each side of the equation.
60 + -60 + -6x = 48 + -60

Combine like terms: 60 + -60 = 0
0 + -6x = 48 + -60
-6x = 48 + -60

Combine like terms: 48 + -60 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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