Solve 5-30-2x/2=3x+4/10-2

$$5 - \frac { 30 - 2 x } { 2 } = \frac { 3 x + 4 } { 10 } - 2$$

Solve for x

$$x=12$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 2,10.

$$50-5\left(30-2x\right)=3x+4-20$$

Use the distributive property to multiply -5 by 30-2x.

$$50-150+10x=3x+4-20$$

Subtract 150 from 50 to get -100.

$$-100+10x=3x+4-20$$

Subtract 20 from 4 to get -16.

$$-100+10x=3x-16$$

Subtract 3x from both sides.

$$-100+10x-3x=-16$$

Combine 10x and -3x to get 7x.

$$-100+7x=-16$$

Add 100 to both sides.

$$7x=-16+100$$

Add -16 and 100 to get 84.

$$7x=84$$

Divide both sides by 7.

$$x=\frac{84}{7}$$

Divide 84 by 7 to get 12.

$$x=12$$