Solve 3left(x-5right)-2left(x+2right)=-9x+5

$$3 \left( x-5 \right) -2 \left( x+2 \right) = -9x+5$$

Solve for x

$$x = \frac{12}{5} = 2\frac{2}{5} = 2.4$$

Steps for Solving Linear Equation

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

$$3x-15-2\left(x+2\right)=-9x+5$$

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

$$3x-15-2x-4=-9x+5$$

Combine 3x and -2x to get x.

$$x-15-4=-9x+5$$

Subtract 4 from -15 to get -19.

$$x-19=-9x+5$$

Add 9x to both sides.

$$x-19+9x=5$$

Combine x and 9x to get 10x.

$$10x-19=5$$

Add 19 to both sides.

$$10x=5+19$$

Add 5 and 19 to get 24.

$$10x=24$$

Divide both sides by 10.

$$x=\frac{24}{10}$$

Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{12}{5}$$