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

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

Solve for x

$$x = \frac{16}{5} = 3\frac{1}{5} = 3.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2x-1.

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

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

$$6x-3-2x-10=-\left(x-3\right)$$

Combine 6x and -2x to get 4x.

$$4x-3-10=-\left(x-3\right)$$

Subtract 10 from -3 to get -13.

$$4x-13=-\left(x-3\right)$$

To find the opposite of x-3, find the opposite of each term.

$$4x-13=-x-\left(-3\right)$$

The opposite of -3 is 3.

$$4x-13=-x+3$$

Add x to both sides.

$$4x-13+x=3$$

Combine 4x and x to get 5x.

$$5x-13=3$$

Add 13 to both sides.

$$5x=3+13$$

Add 3 and 13 to get 16.

$$5x=16$$

Divide both sides by 5.

$$x=\frac{16}{5}$$