Solve 2(x-8)+4(x-10)=5(x+20)

$$2 ( x - 8 ) + 4 ( x - 10 ) = 5 ( x + 20 )$$

Solve for x

$$x=156$$

Steps for Solving Linear Equation

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

$$2x-16+4\left(x-10\right)=5\left(x+20\right)$$

Use the distributive property to multiply 4 by x-10.

$$2x-16+4x-40=5\left(x+20\right)$$

Combine 2x and 4x to get 6x.

$$6x-16-40=5\left(x+20\right)$$

Subtract 40 from -16 to get -56.

$$6x-56=5\left(x+20\right)$$

Use the distributive property to multiply 5 by x+20.

$$6x-56=5x+100$$

Subtract 5x from both sides.

$$6x-56-5x=100$$

Combine 6x and -5x to get x.

$$x-56=100$$

Add 56 to both sides.

$$x=100+56$$

Add 100 and 56 to get 156.

$$x=156$$