How do you solve #\frac { x - 4} { 4} = \frac { x - 10} { 10}#?

Question

1322 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-09-15T06:53:01

#10 (x - 4) = 4 (x - 10) #

#10x - 40 = 4x - 40#

#10x - 4x = - 40 + 40 #

#6x = 0#

Ans: #" "x = 0#

Step 1: Transposition

#10 (x - 4) = 4 (x - 10) #

Step 2: Open brackets

#10x - 40 = 4x - 40 #

Step 3: Take like terms on one side i.e terms with variable on the left-hand side and rest on the right-hand side

#10x - 4x = - 40 + 40 #

Step 4: Solve

# 6x = 0 #

Step 5: Evaluate for value of #x#

# x = 0#

Answer #" "x= 0#