10(x+2)=9(x+6)

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Solution for 10(x+2)=9(x+6) equation:


Simplifying
10(x + 2) = 9(x + 6)

Reorder the terms:
10(2 + x) = 9(x + 6)
(2 * 10 + x * 10) = 9(x + 6)
(20 + 10x) = 9(x + 6)

Reorder the terms:
20 + 10x = 9(6 + x)
20 + 10x = (6 * 9 + x * 9)
20 + 10x = (54 + 9x)

Solving
20 + 10x = 54 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
20 + 10x + -9x = 54 + 9x + -9x

Combine like terms: 10x + -9x = 1x
20 + 1x = 54 + 9x + -9x

Combine like terms: 9x + -9x = 0
20 + 1x = 54 + 0
20 + 1x = 54

Add '-20' to each side of the equation.
20 + -20 + 1x = 54 + -20

Combine like terms: 20 + -20 = 0
0 + 1x = 54 + -20
1x = 54 + -20

Combine like terms: 54 + -20 = 34
1x = 34

Divide each side by '1'.
x = 34

Simplifying
x = 34

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