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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