Solve (6x+1):3-8x=5-2*(1-x)

$$( 6 x + 1 ) : 3 - 8 x = 5 - 2 \cdot ( 1 - x )$$

Solve for x

$$x=-\frac{1}{3}\approx -0.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$6x+1-24x=15-6\left(1-x\right)$$

Combine 6x and -24x to get -18x.

$$-18x+1=15-6\left(1-x\right)$$

Use the distributive property to multiply -6 by 1-x.

$$-18x+1=15-6+6x$$

Subtract 6 from 15 to get 9.

$$-18x+1=9+6x$$

Subtract 6x from both sides.

$$-18x+1-6x=9$$

Combine -18x and -6x to get -24x.

$$-24x+1=9$$

Subtract 1 from both sides.

$$-24x=9-1$$

Subtract 1 from 9 to get 8.

$$-24x=8$$

Divide both sides by -24.

$$x=\frac{8}{-24}$$

Reduce the fraction \frac{8}{-24} to lowest terms by extracting and canceling out 8.

$$x=-\frac{1}{3}$$