Question

8x-3/7-3x+1/35-4x+21/14=-2x

Answer 1

8x-3/7-3x+1/35-4x+21/14=-2x
общий знаменатель 70
560x-30-210x+2-280x+105+140x=0
210x+77=0
210x=-77
x=-77/210
x=-11/30

Answer 2

8x-3/7-3x+1/35-4x+21/14=-2x|*70
560x-30-210x+2-280x+105=-140x
70x+140x=-77
210x=-77|:210
x=-11/30

Answer 3

To solve the equation for the variable x, we'll first need to simplify the left-hand side of the equation by combining like terms and then isolate x on one side of the equation. Let's go step by step:

The given equation: $8x - \frac{3}{7} - 3x + \frac{1}{35} - 4x + \frac{21}{14} = -2x.$

Combine the like terms on the left-hand side: $(8x - 3x - 4x) - \frac{3}{7} + \frac{1}{35} + \frac{21}{14} = -2x,$ $x - \frac{3}{7} + \frac{1}{35} + \frac{3}{2} = -2x.$

Combine the fractions: $x - \frac{21 + 2 + 105}{70} = -2x,$ $x - \frac{128}{70} = -2x.$

Now, isolate x on one side of the equation by adding 2x to both sides: $x + 2x - \frac{128}{70} = 0,$ $3x - \frac{128}{70} = 0.$

To eliminate the fraction, we can multiply both sides by 70 (the least common multiple of 70 and 3): $70(3x) - 70\left(\frac{128}{70}\right) = 0,$ $210x - 128 = 0.$

Now, add 128 to both sides: $210x = 128,$

Finally, divide both sides by 210 to solve for x: $x = \frac{128}{210},$ $x = \frac{64}{105}.$

So, the solution to the equation is $x = \frac{64}{105}$.