Question

3 4 ( 1 6 x+16)= 3 7 (4 3 8 x−21)

Answer 1

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.

Answer 2

Answer:

x = 0.0843442728

Step-by-step explanation:

34(16x + 16) = 37( 438 x −21)      distribute the 438 and the 37

(34*16x) + (34*16) =  (37*438x) + (37*(−21))  

544x + 544 = 16206x - 777)    then isolate the x

-544x                        + 777

1321 = 15662 x then divide

1321 divided by 15662  =   0.0843442728