Solve 100=-(x-1)+3(x+1)

$$100 = - ( x - 1 ) + 3 ( x + 1 )$$

Solve for x

$$x=48$$

Steps for Solving Linear Equation

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

$$100=-x-\left(-1\right)+3\left(x+1\right)$$

The opposite of -1 is 1.

$$100=-x+1+3\left(x+1\right)$$

Use the distributive property to multiply 3 by x+1.

$$100=-x+1+3x+3$$

Combine -x and 3x to get 2x.

$$100=2x+1+3$$

Add 1 and 3 to get 4.

$$100=2x+4$$

Swap sides so that all variable terms are on the left hand side.

$$2x+4=100$$

Subtract 4 from both sides.

$$2x=100-4$$

Subtract 4 from 100 to get 96.

$$2x=96$$

Divide both sides by 2.

$$x=\frac{96}{2}$$

Divide 96 by 2 to get 48.

$$x=48$$