1+2(x+1)=3(x+4)

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Solution for 1+2(x+1)=3(x+4) equation:


Simplifying
1 + 2(x + 1) = 3(x + 4)

Reorder the terms:
1 + 2(1 + x) = 3(x + 4)
1 + (1 * 2 + x * 2) = 3(x + 4)
1 + (2 + 2x) = 3(x + 4)

Combine like terms: 1 + 2 = 3
3 + 2x = 3(x + 4)

Reorder the terms:
3 + 2x = 3(4 + x)
3 + 2x = (4 * 3 + x * 3)
3 + 2x = (12 + 3x)

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

Combine like terms: 2x + -3x = -1x
3 + -1x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
3 + -1x = 12 + 0
3 + -1x = 12

Add '-3' to each side of the equation.
3 + -3 + -1x = 12 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 12 + -3
-1x = 12 + -3

Combine like terms: 12 + -3 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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