Question

x+12+[3x+1+{8x-5(5x+3-2x-5)}]=30​

Answer 1

STEPS FOR SOLVING LINEAR EQUATION

x+1+[3+1+{9−5−(5+3−2−5)}=30

Combine x and 3x to get 4x.

4x+12+1+9x−5−(5x+3−2x−5)=30

Add 12 and 1 to get 13.

4x+13+9x−5−(5x+3−2x−5)=30

Combine 5x and −2x to get 3x.

4x+13+9x−5−(3x+3−5)=30

Subtract 5 from 3 to get −2.

4x+13+9x−5−(3x−2)=30

To find the opposite of 3x−2, find the opposite of each term.

4x+13+9x−5−3x−(−2)=30

The opposite of −2 is 2.

4x+13+9x−5−3x+2=30

Combine 9x and −3x to get 6x.

4x+13+6x−5+2=30

Add −5 and 2 to get −3.

4x+13+6x−3=30

Combine 4x and 6x to get 10x.

10x+13−3=30

Subtract 3 from 13 to get 10.

10x+10=30

Subtract 10 from both sides.

10x=30−10

Subtract 10 from 30 to get 20.

10x=20

Divide both sides by 10.

x=

10

20

Divide 20 by 10 to get 2.

x=2