Solve 3(3)-4(4x)=3(6)-5(2x)

$$3 ( 3 ) - 4 ( 4 x ) = 3 ( 6 ) - 5 ( 2 x )$$

Solve for x

$$x = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Steps for Solving Linear Equation

Multiply 3 and 3 to get 9.

$$9-4\times 4x=3\times 6-5\times 2x$$

Multiply 4 and 4 to get 16.

$$9-16x=3\times 6-5\times 2x$$

Multiply 3 and 6 to get 18.

$$9-16x=18-5\times 2x$$

Multiply 5 and 2 to get 10.

$$9-16x=18-10x$$

Add 10x to both sides.

$$9-16x+10x=18$$

Combine -16x and 10x to get -6x.

$$9-6x=18$$

Subtract 9 from both sides.

$$-6x=18-9$$

Subtract 9 from 18 to get 9.

$$-6x=9$$

Divide both sides by -6.

$$x=\frac{9}{-6}$$

Reduce the fraction \frac{9}{-6} to lowest terms by extracting and canceling out 3.

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