Solve 11*(x-1)=11-(1+x)

$$11 \cdot ( x - 1 ) = 11 - ( 1 + x )$$

Solve for x

$$x = \frac{7}{4} = 1\frac{3}{4} = 1.75$$

Steps for Solving Linear Equation

Use the distributive property to multiply 11 by x-1.

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

To find the opposite of 1+x, find the opposite of each term.

$$11x-11=11-1-x$$

Subtract 1 from 11 to get 10.

$$11x-11=10-x$$

Add x to both sides.

$$11x-11+x=10$$

Combine 11x and x to get 12x.

$$12x-11=10$$

Add 11 to both sides.

$$12x=10+11$$

Add 10 and 11 to get 21.

$$12x=21$$

Divide both sides by 12.

$$x=\frac{21}{12}$$

Reduce the fraction \frac{21}{12} to lowest terms by extracting and canceling out 3.

$$x=\frac{7}{4}$$