$4x\ -\ 6\ =\ 12x\ +\ 8$  

 $7\left(x-2\right)\ =\ 5\left(3x-8\right)$  

 $-4\left(x-5\right)\ =\ -5\left(x+4\right)$  

One fourth of a number increased by nine is fifteen.

Eight less than quadruple a number a number equals forty-four.

The sum of a number squared and seven is fifty-six.

The quotient of thirty-two and a number equals eight.

 $5\left(2x+1\right)-4\left(x-3\right)+8\left(2-3x\right)-4\left(3-5x\right)$  

 $\frac{\left(12x+33\right)}{3}$  

 $\frac{\left(28x\ +\ 12\right)}{4}=\frac{\left(51x\ +\ 39\right)}{3}$  

If x = 4, evaluate the following expression: $3x^2-4x+7$