Solve x+5(3x-20)=10(x-4)

$$x + 5 ( 3 x - 20 ) = 10 ( x - 4 )$$

Solve for x

$$x=10$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 3x-20.

$$x+15x-100=10\left(x-4\right)$$

Combine x and 15x to get 16x.

$$16x-100=10\left(x-4\right)$$

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

$$16x-100=10x-40$$

Subtract 10x from both sides.

$$16x-100-10x=-40$$

Combine 16x and -10x to get 6x.

$$6x-100=-40$$

Add 100 to both sides.

$$6x=-40+100$$

Add -40 and 100 to get 60.

$$6x=60$$

Divide both sides by 6.

$$x=\frac{60}{6}$$

Divide 60 by 6 to get 10.

$$x=10$$