In solving for xx (the unknown variable), the GOLDEN RULE OF ALGEBRA (COMBINING AND BALANCING THE EQUATION TO SOLVE FOR THE UNKNOWN). (Isolating the variable to get its unknown value)
Steps:
1. Isolate the unknown variable by moving it to the left side of the equation. (also eliminating the other variables to get the final format of color(blue)(x = ?)x=?, where xx is the unknown variable.
2. Combine like terms, balance the equation.
3. Simplify the answer to get the unknown value.
7x + 6 = 3x + 97x+6=3x+9
let's combine the like terms, 7x and 3x7xand3x then 6 and 96and9
remember the GOLDEN RULE, To balance the equation to get the unknown, to remove the 3x3x on the RIGHT side of the equation, we must subtract -3x−3x on the RIGHT side, to balance it you must subract 3x3x to the LEFT side of the equation.
color(blue)((-3x))(−3x) 7x + 6 = 3x + 97x+6=3x+9 color(blue)((-3x)(−3x)
4x + 6 = 94x+6=9
we need to isolate the LEFT side of the equation to get the x = ???x=??? format, to get the unknown value, therefore, we must remove + 6+6, always remember the GOLDEN RULE, (Balancing the Equation, To get the unknown value)
color(blue) ((- 6))(−6) 4x + 6 = 9 4x+6=9 color(blue)((-6))(−6)
4x = 3 4x=3
to, remove 44 from 4x4x, we must divide it both sides of the equation by 44.
(cancel(4)x)/cancel(4) = 3/4
so the final answer is color(blue)(x = 3/4)
the other way also like this is also correct,
7x + 6 = 3x + 9
color(blue)((-6)) 7x + 6 = 3x + 9 color(blue)((-6))
7x = 3x + 3
color(blue)((-3x)) 7x = 3x + 3 color(blue)((-3x))
4x = 3
cancel((4)x)/4 = 3/4
color(blue)(x = 3/4)
also correct :)
