Question

-3 1/8x + 3 = -1/8x - 6

Answer 1

$- 3 \frac{1}{8} x + 3 = - \frac{1}{8} x - 6 \\ - 3 \frac{1}{8} x + \frac{1}{8} x = - 6 - 3 \\ - 3x = - 9 \\3 x = 9 \\ x = 9 \div 3 \\ x = 3$

Answer 2

To solve the equation, let's start by simplifying both sides and isolating the variable. Here's how:

Given equation: -3 1/8x + 3 = -1/8x - 6

First, let's convert the mixed numbers into improper fractions:

-3 1/8 = -25/8 -6 = -48/8

Now, substitute these values back into the equation:

-25/8x + 3 = -1/8x - 48/8

Next, let's combine the x terms on one side and the constant terms on the other side:

-25/8x + 1/8x = -48/8 - 3

To combine the x terms, we need to find a common denominator, which is 8:

-25/8x + 1/8x = (-48 - 3)/8

Now, simplify each side of the equation:

(-25 + 1)/8x = -51/8

-24/8x = -51/8

To eliminate the fraction, we can multiply both sides of the equation by the reciprocal of -24/8, which is -8/24:

-8/24 * (-24/8x) = -8/24 * (-51/8)

Simplifying, we have:

x = -408/192

Now, we can reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 24:

x = -17/8

So, the solution to the equation is x = -17/8.