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

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


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

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

Combine like terms: 5 + 6 = 11
11 + 3x = x + 2

Reorder the terms:
11 + 3x = 2 + x

Solving
11 + 3x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
11 + 3x + -1x = 2 + x + -1x

Combine like terms: 3x + -1x = 2x
11 + 2x = 2 + x + -1x

Combine like terms: x + -1x = 0
11 + 2x = 2 + 0
11 + 2x = 2

Add '-11' to each side of the equation.
11 + -11 + 2x = 2 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 2 + -11
2x = 2 + -11

Combine like terms: 2 + -11 = -9
2x = -9

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5

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