# Solve for x 7/2=3/x-4 72=3x-4
Rewrite the equation as 3x-4=72.
3x-4=72
Move all terms not containing x to the right side of the equation.
Add 4 to both sides of the equation.
3x=72+4
To write 4 as a fraction with a common denominator, multiply by 22.
3x=72+4⋅22
Combine 4 and 22.
3x=72+4⋅22
Combine the numerators over the common denominator.
3x=7+4⋅22
Simplify the numerator.
Multiply 4 by 2.
3x=7+82
Add 7 and 8.
3x=152
3x=152
3x=152
Set up the rational expression with the same denominator over the entire equation.
Multiply each term by a factor of 1 that will equate all the denominators. In this case, all terms need a denominator of 2x. The 3x expression needs to be multiplied by 22 to make the denominator 2x. The 152 expression needs to be multiplied by xx to make the denominator 2x.
3x⋅22=152⋅xx
Multiply the expression by a factor of 1 to create the least common denominator (LCD) of 2x.
3(2)
Multiply 3 by 2.
62x=152⋅xx
Multiply the expression by a factor of 1 to create the least common denominator (LCD) of 2x.
15(x)
Multiply 15 by x.
62x=15x2x
62x=15x2x
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
6=15x
Rewrite the equation as 15x=6.
15x=6
Divide each term by 15 and simplify.
Divide each term in 15x=6 by 15.
15×15=615
Cancel the common factor of 15.
Cancel the common factor.
15×15=615
Divide x by 1.
x=615
x=615
Cancel the common factor of 6 and 15.
Factor 3 out of 6.
x=3(2)15
Cancel the common factors.
Factor 3 out of 15.
x=3⋅23⋅5
Cancel the common factor.
x=3⋅23⋅5
Rewrite the expression.
x=25
x=25
x=25
x=25
The result can be shown in multiple forms.
Exact Form:
x=25
Decimal Form:
x=0.4
Solve for x 7/2=3/x-4   ## Download our App from the store

### Create a High Performed UI/UX Design from a Silicon Valley.  Scroll to top