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

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

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Combine x and 7x to get 8x.

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

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

$$8x-1-3x+6=-5\left(1+x\right)$$

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

$$5x-1+6=-5\left(1+x\right)$$

Add -1 and 6 to get 5.

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

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

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

Add 5x to both sides.

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

Combine 5x and 5x to get 10x.

$$10x+5=-5$$

Subtract 5 from both sides.

$$10x=-5-5$$

Subtract 5 from -5 to get -10.

$$10x=-10$$

Divide both sides by 10.

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

Divide -10 by 10 to get -1.

$$x=-1$$