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

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

Solve for x

$$x=-\frac{2}{3}\approx -0.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x+4.

$$3x+12=4-2\left(3x-1\right)$$

Use the distributive property to multiply -2 by 3x-1.

$$3x+12=4-6x+2$$

Add 4 and 2 to get 6.

$$3x+12=6-6x$$

Add 6x to both sides.

$$3x+12+6x=6$$

Combine 3x and 6x to get 9x.

$$9x+12=6$$

Subtract 12 from both sides.

$$9x=6-12$$

Subtract 12 from 6 to get -6.

$$9x=-6$$

Divide both sides by 9.

$$x=\frac{-6}{9}$$

Reduce the fraction \frac{-6}{9} to lowest terms by extracting and canceling out 3.

$$x=-\frac{2}{3}$$