Solve x+7x-1-3left(x-2right)=-5+x

$$x+7x-1-3 \left( x-2 \right) = -5+x$$

Solve for x

$$x = -\frac{5}{2} = -2\frac{1}{2} = -2.5$$

Steps for Solving Linear Equation

Combine x and 7x to get 8x.

$$8x-1-3\left(x-2\right)=-5+x$$

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

$$8x-1-3x+6=-5+x$$

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

$$5x-1+6=-5+x$$

Add -1 and 6 to get 5.

$$5x+5=-5+x$$

Subtract x from both sides.

$$5x+5-x=-5$$

Combine 5x and -x to get 4x.

$$4x+5=-5$$

Subtract 5 from both sides.

$$4x=-5-5$$

Subtract 5 from -5 to get -10.

$$4x=-10$$

Divide both sides by 4.

$$x=\frac{-10}{4}$$

Reduce the fraction \frac{-10}{4} to lowest terms by extracting and canceling out 2.

$$x=-\frac{5}{2}$$