Solve 6(2x-1)-5(x-3)=2(x+2

$$6 ( 2 x - 1 ) - 5 ( x - 3 ) = 2 ( x + 2$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 2x-1.

$$12x-6-5\left(x-3\right)=2\left(x+2\right)$$

Use the distributive property to multiply -5 by x-3.

$$12x-6-5x+15=2\left(x+2\right)$$

Combine 12x and -5x to get 7x.

$$7x-6+15=2\left(x+2\right)$$

Add -6 and 15 to get 9.

$$7x+9=2\left(x+2\right)$$

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

$$7x+9=2x+4$$

Subtract 2x from both sides.

$$7x+9-2x=4$$

Combine 7x and -2x to get 5x.

$$5x+9=4$$

Subtract 9 from both sides.

$$5x=4-9$$

Subtract 9 from 4 to get -5.

$$5x=-5$$

Divide both sides by 5.

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

Divide -5 by 5 to get -1.

$$x=-1$$