Solve x+12=4-(2x-1)

$$x + 12 = 4 - ( 2 x - 1 )$$

Solve for x

$$x = -\frac{7}{3} = -2\frac{1}{3} \approx -2.333333333$$

Steps for Solving Linear Equation

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

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

The opposite of -1 is 1.

$$x+12=4-2x+1$$

Add 4 and 1 to get 5.

$$x+12=5-2x$$

Add 2x to both sides.

$$x+12+2x=5$$

Combine x and 2x to get 3x.

$$3x+12=5$$

Subtract 12 from both sides.

$$3x=5-12$$

Subtract 12 from 5 to get -7.

$$3x=-7$$

Divide both sides by 3.

$$x=\frac{-7}{3}$$

Fraction \frac{-7}{3} can be rewritten as -\frac{7}{3} by extracting the negative sign.

$$x=-\frac{7}{3}$$