Solve -3x-1/2=1+x

$$- 3 x - \frac { 1 } { 2 } = 1 + x$$

Solve for x

$$x=-\frac{3}{8}=-0.375$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$-3x-\frac{1}{2}-x=1$$

Combine -3x and -x to get -4x.

$$-4x-\frac{1}{2}=1$$

Add \frac{1}{2} to both sides.

$$-4x=1+\frac{1}{2}$$

Convert 1 to fraction \frac{2}{2}.

$$-4x=\frac{2}{2}+\frac{1}{2}$$

Since \frac{2}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$-4x=\frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$-4x=\frac{3}{2}$$

Divide both sides by -4.

$$x=\frac{\frac{3}{2}}{-4}$$

Express \frac{\frac{3}{2}}{-4} as a single fraction.

$$x=\frac{3}{2\left(-4\right)}$$

Multiply 2 and -4 to get -8.

$$x=\frac{3}{-8}$$

Fraction \frac{3}{-8} can be rewritten as -\frac{3}{8} by extracting the negative sign.

$$x=-\frac{3}{8}$$