Hello,
Never fear papaman is here to help.
Answer
Let's solve your equation step-by-step.
(−
1
6
)(x−18)+
1
2
(x+2)=x+8
Step 1: Simplify both sides of the equation.
(−
1
6
)(x−18)+
1
2
(x+2)=x+8
(−
1
6
)(x)+(−
1
6
)(−18)+(
1
2
)(x)+(
1
2
)(2)=x+8(Distribute)
−1
6
x+3+
1
2
x+1=x+8
(
−1
6
x+
1
2
x)+(3+1)=x+8(Combine Like Terms)
1
3
x+4=x+8
1
3
x+4=x+8
Step 2: Subtract x from both sides.
1
3
x+4−x=x+8−x
−2
3
x+4=8
Step 3: Subtract 4 from both sides.
−2
3
x+4−4=8−4
−2
3
x=4
Step 4: Multiply both sides by 3/(-2).
(
3
−2
)*(
−2
3
x)=(
3
−2
)*(4)
x=−6
Answer:
x=−6
Have a nice day
~ Papa guy
simplify the equation to the form, which is simple to understand
-1/6(x-18)+1/2(x+2)=x+8
Simplifying:
-0.166666666667*(x-18)+1/2*(x+2)=x+8
Simplifying:
-0.166666666667*(x-18) + 0.5*(x+2)=x+8
Reorder the terms in parentheses
+(-0.166666666667x+3) + 0.5*(x+2)=x+8
Remove unnecessary parentheses
-0.166666666667x+3 + 0.5+*(+x+2+)=+x+8
Reorder the terms in parentheses
-0.166666666667x+3+( + 0.5x+1)=x+8
Remove unnecessary parentheses
-0.166666666667x+3 + 0.5x+1=+x+8
move all terms containing x to the left and all other terms to the right.
-0.166666666667x + 0.5x-1x=+8-3-1
simplify left and right side of the equation.
-0.666666666667x=+4
divide both sides of the equation by -0.666666666667 to get x.
x=-6
Hope I helped.
