Solve 2(5-2x)+2=2/5-3x

$$2 ( 5 - 2 x ) + 2 = \frac { 2 } { 5 } - 3 x$$

Solve for x

$$x = \frac{58}{5} = 11\frac{3}{5} = 11.6$$

Steps for Solving Linear Equation

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

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

Add 10 and 2 to get 12.

$$12-4x=\frac{2}{5}-3x$$

Add 3x to both sides.

$$12-4x+3x=\frac{2}{5}$$

Combine -4x and 3x to get -x.

$$12-x=\frac{2}{5}$$

Subtract 12 from both sides.

$$-x=\frac{2}{5}-12$$

Convert 12 to fraction \frac{60}{5}.

$$-x=\frac{2}{5}-\frac{60}{5}$$

Since \frac{2}{5} and \frac{60}{5} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{2-60}{5}$$

Subtract 60 from 2 to get -58.

$$-x=-\frac{58}{5}$$

Multiply both sides by -1.

$$x=\frac{58}{5}$$