solve for the unknown variable 2/5(3x-4)=-4 Question solve for the unknown variable 2/5(3x-4)=-4 in progress 0 Math Katherine 2 weeks 2021-10-07T01:09:18+00:00 2021-10-07T01:09:18+00:00 2 Answers 0

## Answers ( )

Step-by-step explanation:HERE IS HOW YOU COULD SOLVE IT !!

Different ways to solve equations. We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal.

WHICH THE ANSWER WOULD BE x= -2Answer:x = -2Step-by-step explanation:Solve for x:

(2 (3 x – 4))/5 = -4

Multiply both sides of (2 (3 x – 4))/5 = -4 by 5/2:

(5×2 (3 x – 4))/(2×5) = -4×5/2

5/2×2/5 = (5×2)/(2×5):

(5×2)/(2×5) (3 x – 4) = -4×5/2

5/2 (-4) = (5 (-4))/2:

(5×2 (3 x – 4))/(2×5) = (-4×5)/2

(5×2 (3 x – 4))/(2×5) = (2×5)/(2×5)×(3 x – 4) = 3 x – 4:

3 x – 4 = (-4×5)/2

(-4)/2 = (2 (-2))/2 = -2:

3 x – 4 = 5×-2

5 (-2) = -10:

3 x – 4 = -10

Add 4 to both sides:

3 x + (4 – 4) = 4 – 10

4 – 4 = 0:

3 x = 4 – 10

4 – 10 = -6:

3 x = -6

Divide both sides of 3 x = -6 by 3:

(3 x)/3 = (-6)/3

3/3 = 1:

x = (-6)/3

The gcd of -6 and 3 is 3, so (-6)/3 = (3 (-2))/(3×1) = 3/3×-2 = -2:

Answer: x = -2