a4=a-23
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
a⋅3=4⋅(a-2)
Move 3 to the left of a.
3a=4⋅(a-2)
Simplify 4⋅(a-2).
Apply the distributive property.
3a=4a+4⋅-2
Multiply 4 by -2.
3a=4a-8
3a=4a-8
Move all terms containing a to the left side of the equation.
Subtract 4a from both sides of the equation.
3a-4a=-8
Subtract 4a from 3a.
-a=-8
-a=-8
Multiply each term in -a=-8 by -1
Multiply each term in -a=-8 by -1.
(-a)⋅-1=(-8)⋅-1
Multiply (-a)⋅-1.
Multiply -1 by -1.
1a=(-8)⋅-1
Multiply a by 1.
a=(-8)⋅-1
a=(-8)⋅-1
Multiply -8 by -1.
a=8
a=8
a=8
Solve for a a/4=(a-2)/3