Answer:
x = 1321/15662
OR
x = 0.0843442728
Step-by-step explanation:
To solve for "x", we need to simplify the equation, then isolate "x".
To simplify, expand each bracket using the distributive property. (This means you can multiply the number outside the brackets with each number inside the brackets).
To isolate "x" to the left side, move all the other numbers to the right side. You move a number by canceling it out on one side by doing the reverse operation to the whole equation.
Simplify first:
34( 16 x + 16 ) = 37( 438x − 21 ) Distribute over each bracket
(34*16)x + (34)(16) = (37*438)x − (37)(21) Showing what to multiply
544x + 544 = 16206x − 777
Start isolating "x":
544x + 544 − 544 = 16206x − 777 − 544 Subtract 544 from both sides
544x = 16206x − 1321 On the left side: 544 cancelled out
544x − 16206x = 16206x − 16206x − 1321 Subtract 16206x on both sides
−15662x = −1321 On the right side, there is no more "x"
−15662x/−15662 = −1321/−15662 Divide both sides by −15662
x = −1321/−15662 "x" is isolated. Simplify the fraction.
x = 1321/15662 Answer as a fraction. This number can't be reduced.
OR
x = 0.0843442728 Answer as an exact decimal.
