Solve 2-5(x+5)=3(x-2)-1

$$2 - 5 ( x + 5 ) = 3 ( x - 2 ) - 1$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by x+5.

$$2-5x-25=3\left(x-2\right)-1$$

Subtract 25 from 2 to get -23.

$$-23-5x=3\left(x-2\right)-1$$

Use the distributive property to multiply 3 by x-2.

$$-23-5x=3x-6-1$$

Subtract 1 from -6 to get -7.

$$-23-5x=3x-7$$

Subtract 3x from both sides.

$$-23-5x-3x=-7$$

Combine -5x and -3x to get -8x.

$$-23-8x=-7$$

Add 23 to both sides.

$$-8x=-7+23$$

Add -7 and 23 to get 16.

$$-8x=16$$

Divide both sides by -8.

$$x=\frac{16}{-8}$$

Divide 16 by -8 to get -2.

$$x=-2$$