Solve 4(2x-2)-3(x-7)=-4

$$4 ( 2 x - 2 ) - 3 ( x - 7 ) = - 4$$

Solve for x

$$x = -\frac{17}{5} = -3\frac{2}{5} = -3.4$$

Steps for Solving Linear Equation

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

$$8x-8-3\left(x-7\right)=-4$$

Use the distributive property to multiply -3 by x-7.

$$8x-8-3x+21=-4$$

Combine 8x and -3x to get 5x.

$$5x-8+21=-4$$

Add -8 and 21 to get 13.

$$5x+13=-4$$

Subtract 13 from both sides.

$$5x=-4-13$$

Subtract 13 from -4 to get -17.

$$5x=-17$$

Divide both sides by 5.

$$x=\frac{-17}{5}$$

Fraction \frac{-17}{5} can be rewritten as -\frac{17}{5} by extracting the negative sign.

$$x=-\frac{17}{5}$$