Math

QuestionSolve for xx: 9x+3(x+1)+8=x10-9x + 3(x + 1) + 8 = -x - 10

Studdy Solution

STEP 1

Assumptions1. The equation is linear, and it has one variable xx. . The equation is in the standard form ax+b=0ax + b =0.
3. We are solving for xx.

STEP 2

First, we need to simplify the equation. We can do this by distributing the multiplication in the term (x+1)(x+1).
9x+(x+1)+8=x10-9x +(x+1) +8 = -x -109x+x++8=x10-9x +x + +8 = -x -10

STEP 3

Now, combine like terms on both sides of the equation.
6x+11=x10-6x +11 = -x -10

STEP 4

Next, we need to isolate xx on one side of the equation. We can do this by adding xx to both sides of the equation.
6x+x+11=x+x10-6x + x +11 = -x + x -10x+11=10-x +11 = -10

STEP 5

Now, subtract11 from both sides of the equation to isolate the xx term.
5x+1111=1011-5x +11 -11 = -10 -115x=21-5x = -21

STEP 6

Finally, divide both sides of the equation by -5 to solve for xx.
x=215x = \frac{-21}{-5}

STEP 7

Calculate the value of xx.
x=215=4.2x = \frac{-21}{-5} =4.2So, the solution to the equation is x=4.2x =4.2.

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