Question 1758
(12x+4)/(2x+7)=4

Factor out the GCF of 4 from each term in the polynomial.
(4(3x)+4(1))/(2x+7)=4

Factor out the GCF of 4 from 12x+4.
(4(3x+1))/(2x+7)=4

Since the variable is in the denominator on the left-hand side of the equation, this can be solved as a ratio.  For example, (A)/(B)=C is equivalent to (A)/(C)=B.
(4(3x+1))/(4)=(2x+7)

Reduce the expression (4(3x+1))/(4) by removing a factor of 4 from the numerator and denominator.
(3x+1)=(2x+7)

Check that all solutions found are valid and are part of the domain by substituting them into the original equation.
x=(2x+7)

Remove the parentheses around the expression 3x+1.
3x+1=(2x+7)

Remove the parentheses around the expression 2x+7.
3x+1=2x+7

Since 2x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 2x from both sides.
3x+1-2x=7

Since 3x and -2x are like terms, add -2x to 3x to get x.
x+1=7

Since 1 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 1 from both sides.
x=-1+7

Add 7 to -1 to get 6.
x=6

Have a blessed day!!