Question 225849
{{{4x+6=18-2x}}}


Step 1.  Add 2x to both sides of the equation to get numbers on one side and variables on the right.


{{{4x+6+2x=18-2x+2x}}}


{{{6x+6=18}}}


Step 2.  Subtract 6 from both sides of the equation to isolate x-terms.


{{{6x+6-6=18-6}}}


{{{6x=12}}}


Step 3.  Divide by 6 to both sides of the equation


{{{6x/6=12/6}}}


{{{x=2}}}


Step 4.  Check solution with original equation {{{4x+6=18-2x}}} to see it leads to true statement.


{{{4*2+6=18-2*2}}}


{{{8+6=18-4}}}


{{{14=14}}} which is a true statement


Step 5.  ANSWER:  Solution is {{{x=2}}}.



I hope the above steps were helpful.


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Respectfully,
Dr J

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