0.5(x + 60) + 0.3x = 46
Simplify.
0.5x + 30 + 0.3x = 46
Then, subtract 30 from both sides.
0.5x + 0.3x = 46 - 30
Simplify.
0.8x = 16
Now, turn 0.8x into a fraction to make things look easier.
0.8x → 8/10x → 4/5x :)
So, remove 0.8x from our equation & put 4/5x into it's place.
4/5x = 16
Multiply both sides by 5.
4/5x · 5 = 16 · 5
Simplify.
4x = 80
Now, divide both sides by 4.
4x ÷ 4 = 80 ÷ 4
Simplify.
x = 20
Keep in kind that you would've been able to just multiply everything by 5/4, but we kept things a little bit more simple :)
~Hope I helped!~