Solve 5+7(2-5x)=2(9x+1)-(13x-57)

$$5+7(2-5x)=2(9x+1)-(13x-57)$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by 2-5x.

$$5+14-35x=2\left(9x+1\right)-\left(13x-57\right)$$

Add 5 and 14 to get 19.

$$19-35x=2\left(9x+1\right)-\left(13x-57\right)$$

Use the distributive property to multiply 2 by 9x+1.

$$19-35x=18x+2-\left(13x-57\right)$$

To find the opposite of 13x-57, find the opposite of each term.

$$19-35x=18x+2-13x-\left(-57\right)$$

The opposite of -57 is 57.

$$19-35x=18x+2-13x+57$$

Combine 18x and -13x to get 5x.

$$19-35x=5x+2+57$$

Add 2 and 57 to get 59.

$$19-35x=5x+59$$

Subtract 5x from both sides.

$$19-35x-5x=59$$

Combine -35x and -5x to get -40x.

$$19-40x=59$$

Subtract 19 from both sides.

$$-40x=59-19$$

Subtract 19 from 59 to get 40.

$$-40x=40$$

Divide both sides by -40.

$$x=\frac{40}{-40}$$

Divide 40 by -40 to get -1.

$$x=-1$$