Solve 3+4(x-2)=-3-5(x-5)

$$3 + 4 ( x - 2 ) = - 3 - 5 ( x - 5 )$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x-2.

$$3+4x-8=-3-5\left(x-5\right)$$

Subtract 8 from 3 to get -5.

$$-5+4x=-3-5\left(x-5\right)$$

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

$$-5+4x=-3-5x+25$$

Add -3 and 25 to get 22.

$$-5+4x=22-5x$$

Add 5x to both sides.

$$-5+4x+5x=22$$

Combine 4x and 5x to get 9x.

$$-5+9x=22$$

Add 5 to both sides.

$$9x=22+5$$

Add 22 and 5 to get 27.

$$9x=27$$

Divide both sides by 9.

$$x=\frac{27}{9}$$

Divide 27 by 9 to get 3.

$$x=3$$