<PRE><B>Question 228973</B>
6x - 7 = 2x + 29
:
We want to perform operations on both sides of the equation to get the variable
(x) on one side by itself, usually the left side
;
Add 7 to both sides
6x - 7 + 7 = 2x + 29 + 7
so we have
6x = 2x + 36
:
Subtract 2x from both sides
6x - 2x = 2x - 2x + 36
we have
4x = 36
:
Divide both sides by 4
{{{(4x)/4}}} = {{{36/4}}}
we have
x = 9
;
;
Confirm your answer by replacing x with 9 in the original problem
6x - 7 = 2x + 29
6(9) - 7 = 2(9) + 29
54 - 7 = 18 + 29
47 = 47; confirms our solution</PRE>