What is the first need to solve (2/5) x - 6=-16

x = - 25

Step-by-step explanation:

(2/5) x - 6 = - 16 (add 6 to both sides)

(2/5) x = - 16 + 6

(2/5) x = - 10 (multiply both sides by 5)

2x = - 10 (5)

2x = - 50 (divide both sides by 2)

x = - 50 / 2

x = - 25

x = - 25

Step-by-step explanation:

Solve for x:

(2 x) / 5 - 6 = - 16

Hint: | Put the fractions in (2 x) / 5 - 6 over a common denominator.

Put each term in (2 x) / 5 - 6 over the common denominator 5: (2 x) / 5 - 6 = (2 x) / 5 - 30/5:

(2 x) / 5 - 30/5 = - 16

Hint: | Combine (2 x) / 5 - 30/5 into a single fraction.

(2 x) / 5 - 30/5 = (2 x - 30) / 5:

(2 x - 30) / 5 = - 16

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (2 x - 30) / 5 = - 16 by 5:

(5 (2 x - 30)) / 5 = - 16*5

Hint: | Cancel common terms in the numerator and denominator of (5 (2 x - 30)) / 5.

(5 (2 x - 30)) / 5 = 5/5 * (2 x - 30) = 2 x - 30:

2 x - 30 = - 16*5

Hint: | Multiply 5 and - 16 together.

5 (-16) = - 80:

2 x - 30 = - 80

Hint: | Isolate terms with x to the left hand side.

Add 30 to both sides:

2 x + (30 - 30) = 30 - 80

Hint: | Look for the difference of two identical terms.

30 - 30 = 0:

2 x = 30 - 80

Hint: | Evaluate 30 - 80.

30 - 80 = - 50:

2 x = - 50

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 x = - 50 by 2:

(2 x) / 2 = (-50) / 2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

x = (-50) / 2

Hint: | Reduce (-50) / 2 to lowest terms. Start by finding the GCD of - 50 and 2.

The gcd of - 50 and 2 is 2, so (-50) / 2 = (2 (-25)) / (2*1) = 2/2*-25 = - 25:

Answer: x = - 25