Solve 10(1-7x)=6-8(2-3x)

$$10 ( 1 - 7 x ) = 6 - 8 ( 2 - 3 x )$$

Solve for x

$$x=\frac{10}{47}\approx 0.212765957$$

Steps for Solving Linear Equation

Use the distributive property to multiply 10 by 1-7x.

$$10-70x=6-8\left(2-3x\right)$$

Use the distributive property to multiply -8 by 2-3x.

$$10-70x=6-16+24x$$

Subtract 16 from 6 to get -10.

$$10-70x=-10+24x$$

Subtract 24x from both sides.

$$10-70x-24x=-10$$

Combine -70x and -24x to get -94x.

$$10-94x=-10$$

Subtract 10 from both sides.

$$-94x=-10-10$$

Subtract 10 from -10 to get -20.

$$-94x=-20$$

Divide both sides by -94.

$$x=\frac{-20}{-94}$$

Reduce the fraction \frac{-20}{-94} to lowest terms by extracting and canceling out -2.

$$x=\frac{10}{47}$$