Question

What is 5(x+20) = 7x+30?

Answer 1

Answer: 35

Explanation:

Simplifying

5(x + 20) = 7x + 30

Reorder the terms:

5(20 + x) = 7x + 30

(20 * 5 + x * 5) = 7x + 30

(100 + 5x) = 7x + 30

Reorder the terms:

100 + 5x = 30 + 7x

Solving

100 + 5x = 30 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.

100 + 5x + -7x = 30 + 7x + -7x

Combine like terms: 5x + -7x = -2x

100 + -2x = 30 + 7x + -7x

Combine like terms: 7x + -7x = 0

100 + -2x = 30 + 0

100 + -2x = 30

Add '-100' to each side of the equation.

100 + -100 + -2x = 30 + -100

Combine like terms: 100 + -100 = 0

0 + -2x = 30 + -100

-2x = 30 + -100

Combine like terms: 30 + -100 = -70

-2x = -70

Divide each side by '-2'.

x = 35

Simplifying

x = 35

Answer 2

`x=35`

Explanation:

Step 1: Distribute

`5(x + 20) = 7x + 30`

`(5 * x) + (5 * 20) = 7x + 30`

`5x + 100 = 7x + 30`

Step 2: Subtract 5x from both sides

`5x + 100 - 5x = 7x + 30 - 5x`

`100 = 2x + 30`

Step 3: Subtract 30 from both sides

`100 - 30 = 2x + 30 - 30`

`70 = 2x`

Step 4: Divide both sides by 2

`70 / 2 = 2x / 2`

`35 = x`

Answer:
`x = 35`