Question

The value of x is a third of the value of 45-10x

Answer 1

Answer:

x = 45/13, also x = 3 6/13

Step-by-step explanation:

is = equal sign

of = multiply

Equation:

$x = 1/3 (45-10x)$

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.

$x=\frac{45-10x}{3}$

2. Factor out common term 5.

$x=\frac{5(9-2x)}{3}$

3. Multiply both sides by 3.

$3x=5(9-2x)$

4. Expand.

$3x=45-10x$

5. Add 10x to both sides.

$3x+10x=45$

Simplify. 3x + 10x = 13x.

$13x=45$

Divide both sides by 13.

$x= \frac{45}{13}$

Mixed Number = $x=3\frac{6}{13}$.

You can also use distributive property. The formula for this problem is: $(\frac{1}{3} * 45) - (1/3*10x)$.