Question

What is 19 - 6x = 29

Answer 1

Answer:

x = (-5)/3

Step-by-step explanation:

Solve for x:

19 - 6 x = 29

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

Subtract 19 from both sides:

(19 - 19) - 6 x = 29 - 19

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

19 - 19 = 0:

-6 x = 29 - 19

Hint: | Evaluate 29 - 19.

29 - 19 = 10:

-6 x = 10

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

Divide both sides of -6 x = 10 by -6:

(-6 x)/(-6) = 10/(-6)

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

(-6)/(-6) = 1:

x = 10/(-6)

Hint: | Reduce 10/(-6) to lowest terms. Start by finding the GCD of 10 and -6.

The gcd of 10 and -6 is 2, so 10/(-6) = (2×5)/(2 (-3)) = 2/2×5/(-3) = 5/(-3):

x = 5/(-3)

Hint: | Simplify the sign of 5/(-3).

Multiply numerator and denominator of 5/(-3) by -1:

Answer: x = (-5)/3