Question

Solve and check the following equation
-15=5(3q-10)-5q

Answer 1

q = 7/2 = 3.500

Explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

5*(3*q-10)-5*q-(-15)=0

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(5 • (3q - 10) - 5q) - -15 = 0

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

10q - 35 = 5 • (2q - 7)

Equation at the end of step 3 :

5 • (2q - 7) = 0

Step 4 :

Equations which are never true :

4.1 Solve : 5 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2 Solve : 2q-7 = 0

Add 7 to both sides of the equation :

2q = 7

Divide both sides of the equation by 2:

q = 7/2 = 3.500

Answer 2

The value of the equation is
`q=3.5`.

Explanation:

Consider the provide equation.

`-15=5(3q-10)-5q`

Open the parentheses

`-15=15q-50-5q`

Subtract the like terms.

`-15=10q-50`

Add 50 to the both sides.

`-15+50=10q-50+50`

`35=10q`

Divide both sides by 10.

`q=3.5`

Check.

Substitute q=3.5 in
`-15=5(3q-10)-5q`

`-15=5(3(3.5)-10)-5(3.5)`

`-15=5(10.5-10)-17.5`

`-15=5(0.5)-17.5`

`-15=2.5-17.5`

`-15=-15`

Which is true.

Hence, the value of the equation is
`q=3.5`