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

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

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 2x-3.

$$\frac{7}{2}x+3=8x-12$$

Subtract 8x from both sides.

$$\frac{7}{2}x+3-8x=-12$$

Combine \frac{7}{2}x and -8x to get -\frac{9}{2}x.

$$-\frac{9}{2}x+3=-12$$

Subtract 3 from both sides.

$$-\frac{9}{2}x=-12-3$$

Subtract 3 from -12 to get -15.

$$-\frac{9}{2}x=-15$$

Multiply both sides by -\frac{2}{9}, the reciprocal of -\frac{9}{2}.

$$x=-15\left(-\frac{2}{9}\right)$$

Express -15\left(-\frac{2}{9}\right) as a single fraction.

$$x=\frac{-15\left(-2\right)}{9}$$

Multiply -15 and -2 to get 30.

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

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

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