Solve (x+1)+2x-2=11x+7+2(x-1)

$$( x + 1 ) + 2 x - 2 = 11 x + 7 + 2 ( x - 1 )$$

Solve for x

$$x=-\frac{3}{5}=-0.6$$

Steps for Solving Linear Equation

Combine x and 2x to get 3x.

$$3x+1-2=11x+7+2\left(x-1\right)$$

Subtract 2 from 1 to get -1.

$$3x-1=11x+7+2\left(x-1\right)$$

Use the distributive property to multiply 2 by x-1.

$$3x-1=11x+7+2x-2$$

Combine 11x and 2x to get 13x.

$$3x-1=13x+7-2$$

Subtract 2 from 7 to get 5.

$$3x-1=13x+5$$

Subtract 13x from both sides.

$$3x-1-13x=5$$

Combine 3x and -13x to get -10x.

$$-10x-1=5$$

Add 1 to both sides.

$$-10x=5+1$$

Add 5 and 1 to get 6.

$$-10x=6$$

Divide both sides by -10.

$$x=\frac{6}{-10}$$

Reduce the fraction \frac{6}{-10} to lowest terms by extracting and canceling out 2.

$$x=-\frac{3}{5}$$