Answer:
x=46/17
Explanation:
Let's solve your equation step-by-step.
3/ 4 (x−2)+ 1/ 3 (2x+5)=4
Step 1: Simplify both sides of the equation.
3/ 4 (x−2)+ 1/ 3 (2x+5)=4
( 3/ 4 )(x)+( 3/ 4 )(−2)+( 1/ 3 )(2x)+( 1/ 3 )(5)=4 (Distribute)
3/ 4x+ −3/ 2 + 2/ 3 x+ 5/ 3 =4
( 3/ 4 x+ 2/ 3 x)+( −3/ 2 + 5/ 3 )=4 (Combine Like Terms)
17/ 12 x+ 1/ 6 =4
17/ 12 x+ 1/ 6 =4
Step 2: Subtract 1/6 from both sides.
17/ 12 x+ 1/ 6 − 1/ 6 =4− 1/ 6
17/ 12 x= 23/ 6
Step 3: Multiply both sides by 12/17.
( 12/ 17 )*( 17/ 12 x)=( 12/ 17 )*( 23/ 6 )
x= 46/ 17