2(x+9)=3(13)

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Solution for 2(x+9)=3(13) equation:


Simplifying
2(x + 9) = 3(13)

Reorder the terms:
2(9 + x) = 3(13)
(9 * 2 + x * 2) = 3(13)
(18 + 2x) = 3(13)

Multiply 3 * 13
18 + 2x = 39

Solving
18 + 2x = 39

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 2x = 39 + -18

Combine like terms: 18 + -18 = 0
0 + 2x = 39 + -18
2x = 39 + -18

Combine like terms: 39 + -18 = 21
2x = 21

Divide each side by '2'.
x = 10.5

Simplifying
x = 10.5

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