Solve 7x/2+3=4left(2x-3right)

$$\frac{ 7x }{ 2 } +3 = 4 \left( 2x-3 \right)$$

Solve for x

$$x = \frac{10}{3} = 3\frac{1}{3} \approx 3.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$7x+6=8\left(2x-3\right)$$

Use the distributive property to multiply 8 by 2x-3.

$$7x+6=16x-24$$

Subtract 16x from both sides.

$$7x+6-16x=-24$$

Combine 7x and -16x to get -9x.

$$-9x+6=-24$$

Subtract 6 from both sides.

$$-9x=-24-6$$

Subtract 6 from -24 to get -30.

$$-9x=-30$$

Divide both sides by -9.

$$x=\frac{-30}{-9}$$

Reduce the fraction \frac{-30}{-9} to lowest terms by extracting and canceling out -3.

$$x=\frac{10}{3}$$