Solve 2(3-x)=3(x-4)+15

$$2(3-x)=3(x-4)+15$$

Solve for x

$$x=\frac{3}{5}=0.6$$

Steps for Solving Linear Equation

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

$$6-2x=3\left(x-4\right)+15$$

Use the distributive property to multiply 3 by x-4.

$$6-2x=3x-12+15$$

Add -12 and 15 to get 3.

$$6-2x=3x+3$$

Subtract 3x from both sides.

$$6-2x-3x=3$$

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

$$6-5x=3$$

Subtract 6 from both sides.

$$-5x=3-6$$

Subtract 6 from 3 to get -3.

$$-5x=-3$$

Divide both sides by -5.

$$x=\frac{-3}{-5}$$

Fraction \frac{-3}{-5} can be simplified to \frac{3}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{3}{5}$$