Solve 2(x+8)-5(x-10)=3(x+22)

$$2 ( x + 8 ) - 5 ( x - 10 ) = 3 ( x + 22 )$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+8.

$$2x+16-5\left(x-10\right)=3\left(x+22\right)$$

Use the distributive property to multiply -5 by x-10.

$$2x+16-5x+50=3\left(x+22\right)$$

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

$$-3x+16+50=3\left(x+22\right)$$

Add 16 and 50 to get 66.

$$-3x+66=3\left(x+22\right)$$

Use the distributive property to multiply 3 by x+22.

$$-3x+66=3x+66$$

Subtract 3x from both sides.

$$-3x+66-3x=66$$

Combine -3x and -3x to get -6x.

$$-6x+66=66$$

Subtract 66 from both sides.

$$-6x=66-66$$

Subtract 66 from 66 to get 0.

$$-6x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -6 is not equal to 0, x must be equal to 0.

$$x=0$$