Solve 7x+5/2-2x-3/3=x-3/6

$$\frac { 7 x + 5 } { 2 } - \frac { 2 x - 3 } { 3 } = \frac { x - 3 } { 6 }$$

Solve for x

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

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3,6.

$$3\left(7x+5\right)-2\left(2x-3\right)=x-3$$

Use the distributive property to multiply 3 by 7x+5.

$$21x+15-2\left(2x-3\right)=x-3$$

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

$$21x+15-4x+6=x-3$$

Combine 21x and -4x to get 17x.

$$17x+15+6=x-3$$

Add 15 and 6 to get 21.

$$17x+21=x-3$$

Subtract x from both sides.

$$17x+21-x=-3$$

Combine 17x and -x to get 16x.

$$16x+21=-3$$

Subtract 21 from both sides.

$$16x=-3-21$$

Subtract 21 from -3 to get -24.

$$16x=-24$$

Divide both sides by 16.

$$x=\frac{-24}{16}$$

Reduce the fraction \frac{-24}{16} to lowest terms by extracting and canceling out 8.

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