Solve the Fraction Equation: Finding X in (x+4)/3 = 7/8

Question

Solve for X:

$\frac{x+4}{3}=\frac{7}{8}$

00:00 Solve

00:03 We want to isolate the unknown X

00:07 Multiply by both denominators to eliminate fractions

00:17 Open parentheses properly, multiply by each term

00:29 Arrange the equation so that one side has only the unknown X

00:39 Isolate the unknown X

00:48 Reduce what's possible

00:53 Break down (-11) to (-8) minus 3

00:59 Break down the fraction into a whole number and remainder

01:06 Convert the whole fraction to a whole number

01:13 And this is the solution to the question

First, we cross multiply:

$8\times(x+4)=3\times7$

We multiply the right section and expand the parenthesis, multiplying each of the terms by 8:

$8x+32=21$

We rearrange the equation remembering change the plus and minus signs accordingly:

$8x=21-32$
Solve the subtraction exercise on the right side and divide by 8:

$8x=-11$

$\frac{8x}{8}=-\frac{11}{8}$

Convert the simple fraction into a mixed fraction:

$x=-1\frac{3}{8}$

$-1\frac{3}{8}$