Answer:
x = 45/13, also x = 3 6/13
Step-by-step explanation:
is = equal sign
of = multiply
Equation:
[tex]x = 1/3 (45-10x)[/tex]
To do this, you could easily do communitive property of multiplication, but to make it more understandable I will use reversing.
1. Simplify. Multiply - Divide.
[tex]x=\frac{45-10x}{3}[/tex]
2. Factor out common term 5.
[tex]x=\frac{5(9-2x)}{3}[/tex]
3. Multiply both sides by 3.
[tex]3x=5(9-2x)[/tex]
4. Expand.
[tex]3x=45-10x[/tex]
5. Add 10x to both sides.
[tex]3x+10x=45[/tex]
Simplify. 3x + 10x = 13x.
[tex]13x=45[/tex]
Divide both sides by 13.
[tex]x= \frac{45}{13}[/tex]
Mixed Number = [tex]x=3\frac{6}{13}[/tex].
You can also use distributive property. The formula for this problem is: [tex](\frac{1}{3} * 45) - (1/3*10x)[/tex].
