Math

QuestionSolve the equation: 2x+2(x+1)=3(x+1)2x + 2(x + 1) = 3(x + 1).

Studdy Solution

STEP 1

Assumptions1. The equation is x+(x+1)=3(x+1)x +(x+1) =3(x+1). We are solving for xx

STEP 2

First, we need to simplify the equation. We can do this by distributing the numbers outside the parentheses to the terms inside the parentheses.
2x+2x+2=x+2x +2x +2 =x +

STEP 3

Now, we can simplify the equation further by combining like terms on each side.
x+2=3x+3x +2 =3x +3

STEP 4

Next, we want to isolate xx on one side of the equation. We can do this by subtracting 3x3x from both sides.
4x3x+2=3x3x+34x -3x +2 =3x -3x +3

STEP 5

This simplifies tox+2=3x +2 =3

STEP 6

Finally, we can solve for xx by subtracting 22 from both sides.
x+22=32x +2 -2 =3 -2

STEP 7

This simplifies tox=1x =1So, the solution to the equation 2x+2(x+1)=3(x+1)2x +2(x+1) =3(x+1) is x=1x =1.

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