how to do this algebraic problem?

Comments

• dawonzcher

  June 2021

  How to do this algebraic problem?

  3/4x−1/2=1/2x+1

  Solve for x:

  3/4x−1/2=1/2x+1 <== transpose variable to the left, constants to the right.

  3/4 x - 1/2 x = 1 + 1/2

  3/4 x - 2/4 x = 2/2 + 1/2 <== 1/2 x = 1/2(2/2)x = 2/4 x, and 1(2/2) = 2/2

  1/4 x = 3/2

  x = (3/2)/ (1/4)

  x = 3(4) / 2(1)

  x = 12/ 2

  x = 6 <== Answer.
• como

  June 2021

  Presentation is unclear so have to take a GUESS at :-

  (3/4) x - 1/2 = (1/2) x + 1

  3x - 2 = 2x + 4

  x = 6
• naoya

  June 2021

  3/4x−1/2=1/2x+1

  first,multiply 4x(x≠0)

  3-2x=2+4x

  Then,arrangement equality

  6x=1

  X=1/6
• rahel

  June 2021

  3/4x - 1/2x = 1 + 1/2

  1/4x = 3/2

  x = (3/2) / (1/4)

  x = (3/2) times (4/1)

  x = 12/2

  x = 6
• anonymous

  June 2021

  You need parenthesis - it helps make things clearer.

  Do you mean 3/(4x)−1/2=1/(2x)+1, or (3/4)x−1/2=(1/2)x+1, or 3/(4x−1/2)=1/(2x+1)?
• michael-k

  June 2021

  3/4x - 1/2 = 1/2x + 1

  then it's

  3/4x - 1/2 = 2/4x + 1

  1/4x = 1 1/2

  or

  1/4x = 3/2

  (4/1)1/4x = (4/1)3/2

  x = 6.
• la-console

  June 2021

  (3/4).x - (1/2) = (1/2).x + 1 → the common denominator is 4

  (3/4).x - (2/4) = (2/4).x + (4/4) → you simplify by 4

  3x - 2 = 2x + 4 → you subtract 2x both sides

  3x - 2 - 2x = 2x + 4 - 2x → you simplify

  x - 2 = 4 → you add 2 both sides

  x - 2 + 2 = 4 + 2 → you simplify

  x = 6
• lexi-mason_60be3e756a475

  June 2021

  3/4x−1/2=1/2x+1

  subtract 1/2x from both sides

  3/4x - 1/2x - 1/2 = 1/2x - 1/2x + 1

  1/4x - 1/2 = 1

  add 1/2 to both sides

  1/4x + 1/2 - 1/2 = 1 + 1/2

  1/4x = 3/2

  multiply both sides by 4 to remove denominators

  4(1/4x) = 4(3/2)

  x = 12/2

  x = 6