Answer: x=29
Step-by-step explanation: 4.2(9−x)+36=102−2.5(2x+2)
Use the distributive property to multiply 4.2 by 9−x.
37.8−4.2x+36=102−2.5(2x+2)
Add 37.8 and 36 to get 73.8.
73.8−4.2x=102−2.5(2x+2)
Use the distributive property to multiply −2.5 by 2x+2.
73.8−4.2x=102−5x−5
Subtract 5 from 102 to get 97.
73.8−4.2x=97−5x
Add 5x to both sides.
73.8−4.2x+5x=97
Combine −4.2x and 5x to get 0.8x.
73.8+0.8x=97
Subtract 73.8 from both sides.
0.8x=97−73.8
Subtract 73.8 from 97 to get 23.2.
0.8x=23.2
Divide both sides by 0.8.
x=
0.8
23.2
Expand
0.8
23.2
by multiplying both numerator and the denominator by 10.
x=
8
232
Divide 232 by 8 to get 29.
x=29
GRAPH