Solve 3(x+13)=10(x-1)

$$3 ( x + 13 ) = 10 ( x - 1 )$$

Solve for x

$$x=7$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x+13.

$$3x+39=10\left(x-1\right)$$

Use the distributive property to multiply 10 by x-1.

$$3x+39=10x-10$$

Subtract 10x from both sides.

$$3x+39-10x=-10$$

Combine 3x and -10x to get -7x.

$$-7x+39=-10$$

Subtract 39 from both sides.

$$-7x=-10-39$$

Subtract 39 from -10 to get -49.

$$-7x=-49$$

Divide both sides by -7.

$$x=\frac{-49}{-7}$$

Divide -49 by -7 to get 7.

$$x=7$$