Solve 3-5(2x-1)=5-8x

$$3 - 5 ( 2 x - 1 ) = 5 - 8 x$$

Solve for x

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by 2x-1.

$$3-10x+5=5-8x$$

Add 3 and 5 to get 8.

$$8-10x=5-8x$$

Add 8x to both sides.

$$8-10x+8x=5$$

Combine -10x and 8x to get -2x.

$$8-2x=5$$

Subtract 8 from both sides.

$$-2x=5-8$$

Subtract 8 from 5 to get -3.

$$-2x=-3$$

Divide both sides by -2.

$$x=\frac{-3}{-2}$$

Fraction \frac{-3}{-2} can be simplified to \frac{3}{2} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{3}{2}$$