Solve 15-(2x+5)=7x-(18-x)

$$15-(2x+5)=7x-(18-x)$$

Solve for x

$$x = \frac{14}{5} = 2\frac{4}{5} = 2.8$$

Steps for Solving Linear Equation

To find the opposite of 2x+5, find the opposite of each term.

$$15-2x-5=7x-\left(18-x\right)$$

Subtract 5 from 15 to get 10.

$$10-2x=7x-\left(18-x\right)$$

To find the opposite of 18-x, find the opposite of each term.

$$10-2x=7x-18-\left(-x\right)$$

The opposite of -x is x.

$$10-2x=7x-18+x$$

Combine 7x and x to get 8x.

$$10-2x=8x-18$$

Subtract 8x from both sides.

$$10-2x-8x=-18$$

Combine -2x and -8x to get -10x.

$$10-10x=-18$$

Subtract 10 from both sides.

$$-10x=-18-10$$

Subtract 10 from -18 to get -28.

$$-10x=-28$$

Divide both sides by -10.

$$x=\frac{-28}{-10}$$

Reduce the fraction \frac{-28}{-10} to lowest terms by extracting and canceling out -2.

$$x=\frac{14}{5}$$