Question 69520
a) Solve for x:
{{{-x+12 = -4+x}}} Add x to both sides of the equation.
{{{12 = -4+2x}}} Add 4 to both sides.
{{{16 = 2x}}} Divide both sides by 2.
{{{8 = x}}} or {{{x = 8}}}
b) Solve for x:
{{{3(x-2)+2 = 2(x-4)}}} Apply the distributive property to both sides.
{{{3x-6+2 = 2x-8}}} Combine like-terms.
{{{3x-4 = 2x-8}}} Subtract 2x from both sides.
{{{x-4 = -8}}} Add 4 to both sides.
{{{x = -4}}}
c) Solve for x:
{{{x/5 - x/3 = 8/15}}} Combine (subtract) the fractions on the left side.
{{{(3x-5x)/15 = 8/15}}} Simplify.
{{{(-2x)/15 = 8/15}}} Multiply both sides by 15.
{{{-2x = 8}}} Divide both sides by -2.
{{{x = -4}}}

d) Solve for r:
{{{I = Prt}}} Divide both sides by Pt
{{{I/Pt = r}}} or {{{r = I/Pt}}}