Question

What is the solution to the following equation?

5(2x –6) + 20 = 10

Answer 1

x=2

Explanation:

Let's solve your equation step-by-step.

5(2x−6)+20=10

Step 1: Simplify both sides of the equation.

5(2x−6)+20=10

(5)(2x)+(5)(−6)+20=10(Distribute)

10x+−30+20=10

(10x)+(−30+20)=10(Combine Like Terms)

10x+−10=10

10x−10=10

Step 2: Add 10 to both sides.

10x−10+10=10+10

10x=20

Step 3: Divide both sides by 10.

10x

10

=

20

10

x=2

Answer:

x=2

Answer 2

Explanation:

Simplifying

5(2x + -6) + 20 = 10

Reorder the terms:

5(-6 + 2x) + 20 = 10

(-6 * 5 + 2x * 5) + 20 = 10

(-30 + 10x) + 20 = 10

Reorder the terms:

-30 + 20 + 10x = 10

Combine like terms: -30 + 20 = -10

-10 + 10x = 10

Solving

-10 + 10x = 10

Solving for variable 'x'.

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

Add '10' to each side of the equation.

-10 + 10 + 10x = 10 + 10

Combine like terms: -10 + 10 = 0

0 + 10x = 10 + 10

10x = 10 + 10

Combine like terms: 10 + 10 = 20

10x = 20

Divide each side by '10'.

x = 2

Simplifying

x = 2