1/3x+2=3/4 how would I go about solving this?

Answer combine 1/2 and x.

X/2+2/3=1/6

Subtract 2/3 from both sides of the equation

X/2=1/6-2/3

Simplify the right side of the equation

-2/3 as a fraction with a common denominator, multiply by 2/2

X/2=1/6-2/3 x 2/2

Multiply 3 by 2

X/2 = 1/6 - 2/6 x 2

Combine the numerators over the common denominator

X/2 = 1-2 x2 / 6

Simplify the numerator

Multiply by - 2 by 2

X/2 = 1-4/6

Subtract 4 from 1

X/2 = - 3/6

Cancel the common factor of - 3 and 6

Factor 3 out of - 3

X/2 = 3 (-1) / 6

Cancel the common factor of 6

X/2 = 3.-1/3.2

Rewrite the expression

X/2 = - 1/2

Move the negative in front of the fraction

X/2 = - 1/2

Since both sides have the same Denominator the numerators must be equal.

X=-1