To find the value of x in each equation, we will need to isolate x by performing the necessary operations.
First, we need to simplify the left side of the equation:
2/5 + x - 2/3 = 4/5(2/5 - 2/3) + x = 4/5[(6/15) - (10/15)] + x = 4/5(-4/15) + x = 4/5
Next, we isolate x by adding 4/15 to both sides:
x = 4/5 + 4/15x = (12/15) + (4/15)x = 16/15
Therefore, x = 16/15
First, we simplify the left side of the equation:
x/90 - 2/13 = 8/4513x/1170 - 180/1170 = 208/1170(13x - 180)/1170 = 208/1170
Next, we isolate x by multiplying both sides by 1170:
13x - 180 = 20813x = 208 + 18013x = 388x = 388/13x = 29.846
Therefore, x ≈ 29.846
(x - 3/14) + 2/7 = 5/6x - 3/14 + 2/7 = 5/6x - 3/14 + 4/14 = 5/6x + 1/14 = 5/6
Next, isolate x by subtracting 1/14 from both sides:
x = 5/6 - 1/14x = (35/42) - (3/42)x = 32/42x = 16/21
Therefore, x = 16/21
To find the value of x in each equation, we will need to isolate x by performing the necessary operations.
(2/5 + x) - 2/3 = 4/5First, we need to simplify the left side of the equation:
2/5 + x - 2/3 = 4/5
(2/5 - 2/3) + x = 4/5
[(6/15) - (10/15)] + x = 4/5
(-4/15) + x = 4/5
Next, we isolate x by adding 4/15 to both sides:
x = 4/5 + 4/15
x = (12/15) + (4/15)
x = 16/15
Therefore, x = 16/15
x/90 - 2/13 = 8/45First, we simplify the left side of the equation:
x/90 - 2/13 = 8/45
13x/1170 - 180/1170 = 208/1170
(13x - 180)/1170 = 208/1170
Next, we isolate x by multiplying both sides by 1170:
13x - 180 = 208
13x = 208 + 180
13x = 388
x = 388/13
x = 29.846
Therefore, x ≈ 29.846
(x - 3/14) + 2/7 = 5/6First, we simplify the left side of the equation:
(x - 3/14) + 2/7 = 5/6
x - 3/14 + 2/7 = 5/6
x - 3/14 + 4/14 = 5/6
x + 1/14 = 5/6
Next, isolate x by subtracting 1/14 from both sides:
x = 5/6 - 1/14
x = (35/42) - (3/42)
x = 32/42
x = 16/21
Therefore, x = 16/21