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

$$3 x - 4 ( 1 - x ) = - \frac { 1 } { 2 } - x =$$

Solve for x

$$x=\frac{7}{16}=0.4375$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by 1-x.

$$3x-4+4x=-\frac{1}{2}-x$$

Combine 3x and 4x to get 7x.

$$7x-4=-\frac{1}{2}-x$$

Add x to both sides.

$$7x-4+x=-\frac{1}{2}$$

Combine 7x and x to get 8x.

$$8x-4=-\frac{1}{2}$$

Add 4 to both sides.

$$8x=-\frac{1}{2}+4$$

Convert 4 to fraction \frac{8}{2}.

$$8x=-\frac{1}{2}+\frac{8}{2}$$

Since -\frac{1}{2} and \frac{8}{2} have the same denominator, add them by adding their numerators.

$$8x=\frac{-1+8}{2}$$

Add -1 and 8 to get 7.

$$8x=\frac{7}{2}$$

Divide both sides by 8.

$$x=\frac{\frac{7}{2}}{8}$$

Express \frac{\frac{7}{2}}{8} as a single fraction.

$$x=\frac{7}{2\times 8}$$

Multiply 2 and 8 to get 16.

$$x=\frac{7}{16}$$