Solve 40-4x=5(1-2x)-7x

$$40 - 4 x = 5 ( 1 - 2 x ) - 7 x$$

Solve for x

$$x = -\frac{35}{13} = -2\frac{9}{13} \approx -2.692307692$$

Steps for Solving Linear Equation

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

$$40-4x=5-10x-7x$$

Combine -10x and -7x to get -17x.

$$40-4x=5-17x$$

Add 17x to both sides.

$$40-4x+17x=5$$

Combine -4x and 17x to get 13x.

$$40+13x=5$$

Subtract 40 from both sides.

$$13x=5-40$$

Subtract 40 from 5 to get -35.

$$13x=-35$$

Divide both sides by 13.

$$x=\frac{-35}{13}$$

Fraction \frac{-35}{13} can be rewritten as -\frac{35}{13} by extracting the negative sign.

$$x=-\frac{35}{13}$$