9(x+2)=2(x+16)

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Solution for 9(x+2)=2(x+16) equation:


Simplifying
9(x + 2) = 2(x + 16)

Reorder the terms:
9(2 + x) = 2(x + 16)
(2 * 9 + x * 9) = 2(x + 16)
(18 + 9x) = 2(x + 16)

Reorder the terms:
18 + 9x = 2(16 + x)
18 + 9x = (16 * 2 + x * 2)
18 + 9x = (32 + 2x)

Solving
18 + 9x = 32 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
18 + 9x + -2x = 32 + 2x + -2x

Combine like terms: 9x + -2x = 7x
18 + 7x = 32 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + 7x = 32 + 0
18 + 7x = 32

Add '-18' to each side of the equation.
18 + -18 + 7x = 32 + -18

Combine like terms: 18 + -18 = 0
0 + 7x = 32 + -18
7x = 32 + -18

Combine like terms: 32 + -18 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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