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

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

Solve for x

$$x = \frac{22}{9} = 2\frac{4}{9} \approx 2.444444444$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

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

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

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

Subtract 16x from both sides.

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

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

$$-9x+6=-16$$

Subtract 6 from both sides.

$$-9x=-16-6$$

Subtract 6 from -16 to get -22.

$$-9x=-22$$

Divide both sides by -9.

$$x=\frac{-22}{-9}$$

Fraction \frac{-22}{-9} can be simplified to \frac{22}{9} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{22}{9}$$