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

User Gutompf
by
8.3k points

2 Answers

3 votes

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

User Dameion
by
8.1k points
0 votes

Answer:


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

User Joerg Krause
by
9.0k points

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