Solve 0.2(2x+3)-x=3x-13.8

$$0.2 ( 2 x + 3 ) - x = 3 x - 13.8$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.2 by 2x+3.

$$0.4x+0.6-x=3x-13.8$$

Combine 0.4x and -x to get -0.6x.

$$-0.6x+0.6=3x-13.8$$

Subtract 3x from both sides.

$$-0.6x+0.6-3x=-13.8$$

Combine -0.6x and -3x to get -3.6x.

$$-3.6x+0.6=-13.8$$

Subtract 0.6 from both sides.

$$-3.6x=-13.8-0.6$$

Subtract 0.6 from -13.8 to get -14.4.

$$-3.6x=-14.4$$

Divide both sides by -3.6.

$$x=\frac{-14.4}{-3.6}$$

Expand \frac{-14.4}{-3.6} by multiplying both numerator and the denominator by 10.

$$x=\frac{-144}{-36}$$

Divide -144 by -36 to get 4.

$$x=4$$