Solve 5(1-x)-2(x+4)=3-2x

$$5 ( 1 - x ) - 2 ( x + 4 ) = 3 - 2 x$$

Solve for x

$$x = -\frac{6}{5} = -1\frac{1}{5} = -1.2$$

Steps for Solving Linear Equation

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

$$5-5x-2\left(x+4\right)=3-2x$$

Use the distributive property to multiply -2 by x+4.

$$5-5x-2x-8=3-2x$$

Combine -5x and -2x to get -7x.

$$5-7x-8=3-2x$$

Subtract 8 from 5 to get -3.

$$-3-7x=3-2x$$

Add 2x to both sides.

$$-3-7x+2x=3$$

Combine -7x and 2x to get -5x.

$$-3-5x=3$$

Add 3 to both sides.

$$-5x=3+3$$

Add 3 and 3 to get 6.

$$-5x=6$$

Divide both sides by -5.

$$x=\frac{6}{-5}$$

Fraction \frac{6}{-5} can be rewritten as -\frac{6}{5} by extracting the negative sign.

$$x=-\frac{6}{5}$$