3x-13=2(x+9)

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


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

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

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

Solving
-13 + 3x = 18 + 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.
-13 + 3x + -2x = 18 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-13 + 1x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
-13 + 1x = 18 + 0
-13 + 1x = 18

Add '13' to each side of the equation.
-13 + 13 + 1x = 18 + 13

Combine like terms: -13 + 13 = 0
0 + 1x = 18 + 13
1x = 18 + 13

Combine like terms: 18 + 13 = 31
1x = 31

Divide each side by '1'.
x = 31

Simplifying
x = 31

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