Solve 6(3x+1)-30=3(2x-4)

$$6 ( 3 x + 1 ) - 30 = 3 ( 2 x - 4 )$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 3x+1.

$$18x+6-30=3\left(2x-4\right)$$

Subtract 30 from 6 to get -24.

$$18x-24=3\left(2x-4\right)$$

Use the distributive property to multiply 3 by 2x-4.

$$18x-24=6x-12$$

Subtract 6x from both sides.

$$18x-24-6x=-12$$

Combine 18x and -6x to get 12x.

$$12x-24=-12$$

Add 24 to both sides.

$$12x=-12+24$$

Add -12 and 24 to get 12.

$$12x=12$$

Divide both sides by 12.

$$x=\frac{12}{12}$$

Divide 12 by 12 to get 1.

$$x=1$$