x+13=3(x-2)

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


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

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

Reorder the terms:
13 + x = 3(-2 + x)
13 + x = (-2 * 3 + x * 3)
13 + x = (-6 + 3x)

Solving
13 + x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
13 + x + -3x = -6 + 3x + -3x

Combine like terms: x + -3x = -2x
13 + -2x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
13 + -2x = -6 + 0
13 + -2x = -6

Add '-13' to each side of the equation.
13 + -13 + -2x = -6 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = -6 + -13
-2x = -6 + -13

Combine like terms: -6 + -13 = -19
-2x = -19

Divide each side by '-2'.
x = 9.5

Simplifying
x = 9.5

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