Solve 2*(x-19)-6*(1-x)+17=-17

$$2 \cdot ( x - 19 ) - 6 \cdot ( 1 - x ) + 17 = - 17$$

Solve for x

$$x = \frac{5}{4} = 1\frac{1}{4} = 1.25$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x-19.

$$2x-38-6\left(1-x\right)+17=-17$$

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

$$2x-38-6+6x+17=-17$$

Subtract 6 from -38 to get -44.

$$2x-44+6x+17=-17$$

Combine 2x and 6x to get 8x.

$$8x-44+17=-17$$

Add -44 and 17 to get -27.

$$8x-27=-17$$

Add 27 to both sides.

$$8x=-17+27$$

Add -17 and 27 to get 10.

$$8x=10$$

Divide both sides by 8.

$$x=\frac{10}{8}$$

Reduce the fraction \frac{10}{8} to lowest terms by extracting and canceling out 2.

$$x=\frac{5}{4}$$