(x+5)=3(x+2)

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Solution for (x+5)=3(x+2) equation:


Simplifying
(x + 5) = 3(x + 2)

Reorder the terms:
(5 + x) = 3(x + 2)

Remove parenthesis around (5 + x)
5 + x = 3(x + 2)

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

Solving
5 + 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.
5 + x + -3x = 6 + 3x + -3x

Combine like terms: x + -3x = -2x
5 + -2x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -2x = 6 + 0
5 + -2x = 6

Add '-5' to each side of the equation.
5 + -5 + -2x = 6 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 6 + -5
-2x = 6 + -5

Combine like terms: 6 + -5 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

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