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4 years ago

(9x-8)+(x+10)+(x+2)=180 find x

Mathematics

2 answers:

kap26 [50]4 years ago

8 0

Answer:

x = 16

Step-by-step explanation:

Simplifying

(9x + -8) + (x + 10) + (x + 2) = 180

Reorder the terms:

(-8 + 9x) + (x + 10) + (x + 2) = 180

Remove parenthesis around (-8 + 9x)

-8 + 9x + (x + 10) + (x + 2) = 180

Reorder the terms:

-8 + 9x + (10 + x) + (x + 2) = 180

Remove parenthesis around (10 + x)

-8 + 9x + 10 + x + (x + 2) = 180

Reorder the terms:

-8 + 9x + 10 + x + (2 + x) = 180

Remove parenthesis around (2 + x)

-8 + 9x + 10 + x + 2 + x = 180

Reorder the terms:

-8 + 10 + 2 + 9x + x + x = 180

Combine like terms: -8 + 10 = 2

2 + 2 + 9x + x + x = 180

Combine like terms: 2 + 2 = 4

4 + 9x + x + x = 180

Combine like terms: 9x + x = 10x

4 + 10x + x = 180

Combine like terms: 10x + x = 11x

4 + 11x = 180

Solving

4 + 11x = 180

Solving for variable 'x'.

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

Add '-4' to each side of the equation.

4 + -4 + 11x = 180 + -4

Combine like terms: 4 + -4 = 0

0 + 11x = 180 + -4

11x = 180 + -4

Combine like terms: 180 + -4 = 176

11x = 176

Divide each side by '11'.

x = 16

Simplifying

x = 16

AlekseyPX4 years ago

3 0

Your answer would be x = 16.

To find the answer you need to collect like terms on the left hand side by adding the x-terms and the numbers, and then solving for x.

9x + x + x = 11x

-8 + 10 + 2 = 4

11x + 4 = 180

- 4

11x = 176

÷ 11

x = 16

I hope this helps!

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