-7x-26=-30 2/3
Do you want an equation for x?
yes
Add 26 to both sides.
-7x = -4 2/3 = -14/3
Then divide both sides by -7
x = 2/3
To solve the equation -7x - 26 = -30 2/3, we need to isolate the variable x.
Let's start by adding 26 to both sides of the equation to eliminate the -26 on the left side:
-7x - 26 + 26 = -30 2/3 + 26
This simplifies to:
-7x = -30 2/3 + 26
Next, we need to add the fractions on the right side. The least common multiple (LCM) of 3 and 3 is 3, so let's convert -30 2/3 to an improper fraction with a denominator of 3:
-30 2/3 = -(90/3) + 2/3 = -88/3
Now, we have:
-7x = -88/3 + 26
To add -88/3 and 26, we need to find a common denominator, which is 3:
(-88/3) * (1/1) = -88/3
26 * (3/3) = 78/3
So, now we have:
-7x = -88/3 + 78/3
Combining the fractions, we get:
-7x = (-88 + 78) / 3
Simplifying further, we have:
-7x = -10 / 3
To isolate x, we divide both sides of the equation by -7:
(-7x) / -7 = (-10 / 3) / -7
This gives us:
x = (-10 / 3) / -7
To divide a fraction by a whole number, we multiply the numerator by the reciprocal of the denominator:
x = (-10 / 3) * (1 / -7)
Multiplying the numerators and denominators, we get:
x = (-10 * 1) / (3 * -7)
This simplifies to:
x = -10 / -21
Finally, dividing -10 by -21 results in:
x = 10/21
Therefore, the solution to the equation -7x - 26 = -30 2/3 is x = 10/21.