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

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

Solve for x

$$x=-\frac{1}{7}\approx -0.142857143$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 4x+1.

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

To find the opposite of 2x-1, find the opposite of each term.

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

The opposite of -1 is 1.

$$12x+3=-2x+1$$

Add 2x to both sides.

$$12x+3+2x=1$$

Combine 12x and 2x to get 14x.

$$14x+3=1$$

Subtract 3 from both sides.

$$14x=1-3$$

Subtract 3 from 1 to get -2.

$$14x=-2$$

Divide both sides by 14.

$$x=\frac{-2}{14}$$

Reduce the fraction \frac{-2}{14} to lowest terms by extracting and canceling out 2.

$$x=-\frac{1}{7}$$