(5(1-2x))/(3) +(x)/(2) =(3(x-5))/(4)-2

Question

`(5(1-2x))/(3) +(x)/(2) =(3(x-5))/(4)-2`

Answer 1

Answer/Step-by-step explanation:

We are trying to isolate the variable.

Multiply both sides by 6 (to get rid of fraction on left side)

10(1-2x)+3x=[9(x-5)]/2 -12

Multiply both sides by 2 (to get rid of fraction on right side)

20(1-2x)+6x=9(x-5)-24

expand

20-40x+6x=9x-45-24

simplify

20-34x=9x-69

move x to one side

20=43x-69

move numbers to one side

89=43x

x=2.0697

Answer 2

x=89/43

Explanation:

`(5(1-2x))/(3) +(x)/(2) =(3(x-5))/(4)-2\\\\\\\implies (10(1-2x))/(6) +(3x)/(6) =(3(x-5))/(4)-\frac84\\\\\\\implies (10(1-2x)+3x)/(6) =(3(x-5)-8)/(4)\\\\\\\implies (10-17x)/(6) =(3x-23)/(4)\\\\\\\implies 4(10-17x) =6(3x-23)\\\\\implies 40-68x=18x-138\\\\\implies 86x=178\\\\\implies x=(89)/(43)`