Solve -0.3(x-4)+0.2x=0.5(3-x)

$$- 0.3 ( x - 4 ) + 0.2 x = 0.5 ( 3 - x )$$

Solve for x

$$x=0.75$$

Steps for Solving Linear Equation

Use the distributive property to multiply -0.3 by x-4.

$$-0.3x+1.2+0.2x=0.5\left(3-x\right)$$

Combine -0.3x and 0.2x to get -0.1x.

$$-0.1x+1.2=0.5\left(3-x\right)$$

Use the distributive property to multiply 0.5 by 3-x.

$$-0.1x+1.2=1.5-0.5x$$

Add 0.5x to both sides.

$$-0.1x+1.2+0.5x=1.5$$

Combine -0.1x and 0.5x to get 0.4x.

$$0.4x+1.2=1.5$$

Subtract 1.2 from both sides.

$$0.4x=1.5-1.2$$

Subtract 1.2 from 1.5 to get 0.3.

$$0.4x=0.3$$

Divide both sides by 0.4.

$$x=\frac{0.3}{0.4}$$

Expand \frac{0.3}{0.4} by multiplying both numerator and the denominator by 10.

$$x=\frac{3}{4}$$