Solve x+3/2-7x-4/2=x/2-7

$$\frac { x + 3 } { 2 } - \frac { 7 x - 4 } { 2 } = \frac { x } { 2 } - 7$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$x+3-\left(7x-4\right)=x-14$$

To find the opposite of 7x-4, find the opposite of each term.

$$x+3-7x-\left(-4\right)=x-14$$

The opposite of -4 is 4.

$$x+3-7x+4=x-14$$

Combine x and -7x to get -6x.

$$-6x+3+4=x-14$$

Add 3 and 4 to get 7.

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

Subtract x from both sides.

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

Combine -6x and -x to get -7x.

$$-7x+7=-14$$

Subtract 7 from both sides.

$$-7x=-14-7$$

Subtract 7 from -14 to get -21.

$$-7x=-21$$

Divide both sides by -7.

$$x=\frac{-21}{-7}$$

Divide -21 by -7 to get 3.

$$x=3$$