Solve 3(2x-6)+2(4x+6)=18-12x

$$3 ( 2 x - 6 ) + 2 ( 4 x + 6 ) = 18 - 12 x$$

Solve for x

$$x=\frac{12}{13}\approx 0.923076923$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2x-6.

$$6x-18+2\left(4x+6\right)=18-12x$$

Use the distributive property to multiply 2 by 4x+6.

$$6x-18+8x+12=18-12x$$

Combine 6x and 8x to get 14x.

$$14x-18+12=18-12x$$

Add -18 and 12 to get -6.

$$14x-6=18-12x$$

Add 12x to both sides.

$$14x-6+12x=18$$

Combine 14x and 12x to get 26x.

$$26x-6=18$$

Add 6 to both sides.

$$26x=18+6$$

Add 18 and 6 to get 24.

$$26x=24$$

Divide both sides by 26.

$$x=\frac{24}{26}$$

Reduce the fraction \frac{24}{26} to lowest terms by extracting and canceling out 2.

$$x=\frac{12}{13}$$