Solve 1/2(x+4-21x-5)=46

$$\frac{ 1 }{ 2 } (x+4-21x-5)=46$$

Solve for x

$$x = -\frac{93}{20} = -4\frac{13}{20} = -4.65$$

Steps for Solving Linear Equation

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

$$x+4-21x-5=46\times 2$$

Multiply 46 and 2 to get 92.

$$x+4-21x-5=92$$

Combine x and -21x to get -20x.

$$-20x+4-5=92$$

Subtract 5 from 4 to get -1.

$$-20x-1=92$$

Add 1 to both sides.

$$-20x=92+1$$

Add 92 and 1 to get 93.

$$-20x=93$$

Divide both sides by -20.

$$x=\frac{93}{-20}$$

Fraction \frac{93}{-20} can be rewritten as -\frac{93}{20} by extracting the negative sign.

$$x=-\frac{93}{20}$$