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

$$3 ( x + 3 ) = 7 ( x - 2 )$$

Solve for x

$$x = \frac{23}{4} = 5\frac{3}{4} = 5.75$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x+3.

$$3x+9=7\left(x-2\right)$$

Use the distributive property to multiply 7 by x-2.

$$3x+9=7x-14$$

Subtract 7x from both sides.

$$3x+9-7x=-14$$

Combine 3x and -7x to get -4x.

$$-4x+9=-14$$

Subtract 9 from both sides.

$$-4x=-14-9$$

Subtract 9 from -14 to get -23.

$$-4x=-23$$

Divide both sides by -4.

$$x=\frac{-23}{-4}$$

Fraction \frac{-23}{-4} can be simplified to \frac{23}{4} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{23}{4}$$