5.2{6-[8-(2x+5)]+9}= -18.1

Question

Solve the equation combining like terms to get the solution set

Answer 1

5.2 { 6 - [ 8 - (2x+5)] + 9} = -18.1

5.2 { 6 - [ 8 - 2x - 5 ] + 9 } = -18.1

5.2 { 6 - [ 3 - 2x] + 9 } = -18.1

5.2 { 6 - 3 + 2x + 9 } = -18.1

5.2 { 12 + 2x } = -18.1

52 { 12 + 2x } = -181

52 * 2 { 6+x} = -181

104 { 6 + x} = -181

624 + 104x = -181

104x = -181 - 624

104x = -805

x = -805/104

x = -7 and 77/104

check:

x = -805/104

Builds the equation from the inside out...

First, multiplies by 2:

-805/104 * 2 = -805/52

Adds 5: -805/52 + 5 = -805/52 + 5/1 = -805/52 + 260/52 = -545/52

Subtracts from 8 : 8 - -545/52 = 8/1 + 545/52 = 416/52 + 545/52 = 961/52

Subtracts from 6: 6/1 - 961/52 = 312/52 - 961/52 = -649/52

adds 9 : 9/1 - 649/52 = 468/52 - 649/52 = -181/52

multiplies by 5.2 = 5 and 2/10 = 5 and 1/5 = 26/5:

-181/52 * 26/5 = -181/10 = -18.1 <--- YES, IT CHECKS!!!!