Solve 1.8x-0.3-0.25(5x-3)=-0.8(1-x)

$$1.8 x - 0.3 - 0.25 ( 5 x - 3 ) = - 0.8 ( 1 - x )$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -0.25 by 5x-3.

$$1.8x-0.3-1.25x+0.75=-0.8\left(1-x\right)$$

Combine 1.8x and -1.25x to get 0.55x.

$$0.55x-0.3+0.75=-0.8\left(1-x\right)$$

Add -0.3 and 0.75 to get 0.45.

$$0.55x+0.45=-0.8\left(1-x\right)$$

Use the distributive property to multiply -0.8 by 1-x.

$$0.55x+0.45=-0.8+0.8x$$

Subtract 0.8x from both sides.

$$0.55x+0.45-0.8x=-0.8$$

Combine 0.55x and -0.8x to get -0.25x.

$$-0.25x+0.45=-0.8$$

Subtract 0.45 from both sides.

$$-0.25x=-0.8-0.45$$

Subtract 0.45 from -0.8 to get -1.25.

$$-0.25x=-1.25$$

Divide both sides by -0.25.

$$x=\frac{-1.25}{-0.25}$$

Expand \frac{-1.25}{-0.25} by multiplying both numerator and the denominator by 100.

$$x=\frac{-125}{-25}$$

Divide -125 by -25 to get 5.

$$x=5$$