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

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

Solve for x

$$x=4$$

Steps for Solving Linear Equation

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

$$2x+4-3\left(5-x\right)=x+5\left(x-3\right)$$

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

$$2x+4-15+3x=x+5\left(x-3\right)$$

Subtract 15 from 4 to get -11.

$$2x-11+3x=x+5\left(x-3\right)$$

Combine 2x and 3x to get 5x.

$$5x-11=x+5\left(x-3\right)$$

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

$$5x-11=x+5x-15$$

Combine x and 5x to get 6x.

$$5x-11=6x-15$$

Subtract 6x from both sides.

$$5x-11-6x=-15$$

Combine 5x and -6x to get -x.

$$-x-11=-15$$

Add 11 to both sides.

$$-x=-15+11$$

Add -15 and 11 to get -4.

$$-x=-4$$

Multiply both sides by -1.

$$x=4$$