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Question: 5 ( x +20)= 7x +30

2 Answers

4 votes

Answer:35

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

Hope it helps. Please tell me if im correct

User Giuseppe Mosca
by
5.9k points
6 votes

Answer:

35

Explanation:

5 * X= 5x

5* 20=100

these are for the ones inside the pararenthesis

so....

5x + 100= 7x+30

subtract 30 from both sides

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

5x+70= 7x

now we need the variable on one side

so we subtract 5x on both sides

5x-5x+70= 7x-5x

70= 2x

now we divide by 2 on both to isolate the variable

70/2= 2/2

35=x

that's ur answer

hope this helped :D

User Janih
by
5.9k points