Step-by-step explanation:
1
Distribute
10−4(6+2)=74
10{\color{#c92786}{-4(6x+2)}}=7410−4(6x+2)=74
10−24−8=74
10{\color{#c92786}{-24x-8}}=7410−24x−8=74
2
Subtract the numbers
10−24−8=74
{\color{#c92786}{10}}-24x{\color{#c92786}{-8}}=7410−24x−8=74
2−24=74
{\color{#c92786}{2}}-24x=742−24x=74
3
Subtract the same term from both sides of the equation
2−24=74
2-24x=742−24x=74
2−24−2=74−2
2-24x{\color{#c92786}{-2}}=74{\color{#c92786}{-2}}2−24x−2=74−2
4
Simplify
Subtract the numbers
Subtract the numbers
again
−24=72
-24x=72−24x=72
5
Divide both sides of the equation by the same term
−24=72
-24x=72−24x=72
−24−24=72−24
\frac{-24x}{{\color{#c92786}{-24}}}=\frac{72}{{\color{#c92786}{-24}}}−24−24x=−2472
6
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=−3
x=-3x=−3
Solution
x=-3
