Solve 3(1+9x)=6(2-4x)

$$3 ( 1 + 9 x ) = 6 ( 2 - 4 x )$$

Solve for x

$$x=\frac{3}{17}\approx 0.176470588$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 1+9x.

$$3+27x=6\left(2-4x\right)$$

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

$$3+27x=12-24x$$

Add 24x to both sides.

$$3+27x+24x=12$$

Combine 27x and 24x to get 51x.

$$3+51x=12$$

Subtract 3 from both sides.

$$51x=12-3$$

Subtract 3 from 12 to get 9.

$$51x=9$$

Divide both sides by 51.

$$x=\frac{9}{51}$$

Reduce the fraction \frac{9}{51} to lowest terms by extracting and canceling out 3.

$$x=\frac{3}{17}$$