Solve 2(x-3)/4-3(x-2)/3=6/1

$$\frac { 2 ( x - 3 ) } { 4 } - \frac { 3 ( x - 2 ) } { 3 } = \frac { 6 } { 1 }$$

Solve for x

$$x=-11$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$3\times 2\left(x-3\right)-4\times 3\left(x-2\right)=12\times 6$$

Multiply 3 and 2 to get 6.

$$6\left(x-3\right)-4\times 3\left(x-2\right)=12\times 6$$

Use the distributive property to multiply 6 by x-3.

$$6x-18-4\times 3\left(x-2\right)=12\times 6$$

Multiply -4 and 3 to get -12.

$$6x-18-12\left(x-2\right)=12\times 6$$

Use the distributive property to multiply -12 by x-2.

$$6x-18-12x+24=12\times 6$$

Combine 6x and -12x to get -6x.

$$-6x-18+24=12\times 6$$

Add -18 and 24 to get 6.

$$-6x+6=12\times 6$$

Multiply 12 and 6 to get 72.

$$-6x+6=72$$

Subtract 6 from both sides.

$$-6x=72-6$$

Subtract 6 from 72 to get 66.

$$-6x=66$$

Divide both sides by -6.

$$x=\frac{66}{-6}$$

Divide 66 by -6 to get -11.

$$x=-11$$