3x+2(x+1)=3x+12

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Solution for 3x+2(x+1)=3x+12 equation:


Simplifying
3x + 2(x + 1) = 3x + 12

Reorder the terms:
3x + 2(1 + x) = 3x + 12
3x + (1 * 2 + x * 2) = 3x + 12
3x + (2 + 2x) = 3x + 12

Reorder the terms:
2 + 3x + 2x = 3x + 12

Combine like terms: 3x + 2x = 5x
2 + 5x = 3x + 12

Reorder the terms:
2 + 5x = 12 + 3x

Solving
2 + 5x = 12 + 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.
2 + 5x + -3x = 12 + 3x + -3x

Combine like terms: 5x + -3x = 2x
2 + 2x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + 2x = 12 + 0
2 + 2x = 12

Add '-2' to each side of the equation.
2 + -2 + 2x = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 12 + -2
2x = 12 + -2

Combine like terms: 12 + -2 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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