Solve 2x-5(x-2)=-3+5x-27

$$2 x - 5 ( x - 2 ) = - 3 + 5 x - 27$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

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

$$2x-5x+10=-3+5x-27$$

Combine 2x and -5x to get -3x.

$$-3x+10=-3+5x-27$$

Subtract 27 from -3 to get -30.

$$-3x+10=-30+5x$$

Subtract 5x from both sides.

$$-3x+10-5x=-30$$

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

$$-8x+10=-30$$

Subtract 10 from both sides.

$$-8x=-30-10$$

Subtract 10 from -30 to get -40.

$$-8x=-40$$

Divide both sides by -8.

$$x=\frac{-40}{-8}$$

Divide -40 by -8 to get 5.

$$x=5$$