Question

4/3x - 4 = 5 + x Please help with this problem

Answer 1

$\text {Hello! To solve for x you must...}$

$\text {Simplify the Equation (KCC):}$

$\text {Keep: 4/3x}$

$\text {Change: - into +}$

$\text {Change: 4 into -4}$

$\text {Switch:}$

$\text {5+x changes into x+5}$

$\text {Your new problem should be 4/3x-4=x+5}$

$\text {The Next Step is to Subtract x:}$

$\text {4/3x-4-x=x+5-x}$

$\text {1/3-4=5}$

$\text {Next you would want to add 4}$

$\text {Q: Why would we add 4 instead of subtracting 4?}$

$\text {A: Because we need 4 to equal to 0. We will add 4 to cross out 4. So -4+4 will equal 0.}$

$\text {1/3-4+4=5+4}$

$\text {1/3x=9}$

$\text {Your Final Step will be to Multiply 3 on both sides:}$

$\text {Q: Why do we multiply 3?}$

$\text {A: Because if we multiply 1 it won't really equal to anything. So we multiply 3 to get x}$$\text {by itself.}$

$\text 3*(1/3x)=(3)*(9)$

$\text {Note: 3 makes the fraction cancel out. So now x is by itself.}$

$\text {Your Final Answer is...}$

$\fbox {x=27}$

$\text {Best of Luck!}$

$\text {-LimitedX}$