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

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

Solve for x

$$x = \frac{21}{5} = 4\frac{1}{5} = 4.2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 14, the least common multiple of 2,7.

$$-7\left(3-x\right)-2\times 3x=-14x+42$$

Use the distributive property to multiply -7 by 3-x.

$$-21+7x-2\times 3x=-14x+42$$

Multiply -2 and 3 to get -6.

$$-21+7x-6x=-14x+42$$

Combine 7x and -6x to get x.

$$-21+x=-14x+42$$

Add 14x to both sides.

$$-21+x+14x=42$$

Combine x and 14x to get 15x.

$$-21+15x=42$$

Add 21 to both sides.

$$15x=42+21$$

Add 42 and 21 to get 63.

$$15x=63$$

Divide both sides by 15.

$$x=\frac{63}{15}$$

Reduce the fraction \frac{63}{15} to lowest terms by extracting and canceling out 3.

$$x=\frac{21}{5}$$