Question

1) - 1/4 x = - 10 2) 4x - 55 = 2х + 105 3) 2(x+3) = 4х – 20 4) 4x - (7x – 35) = 17 5) 5x - (7x - 29) = 7 6) 3х - (9x - 70) = 5 (4-x)

Answer 1

1) x= 40
2) 4x-2x=105+55
2x=160
x=80
3) 2x+6=4x-20
2x-4x=-20-6
-2x=-26
x=13
4) 4x-7x+35=17
-3x=17-35
-3x=-18
x=6
5) 5x-7x+29=7
-2x=7-29
-2x=-22
х=11
6) 3х-9х+70=20-5х
-6х+5х=20-70
-х=-50
х=50

Answer 2

It looks like you've provided a list of equations. Would you like me to help you solve these equations for the variable "x"? If so, I can certainly assist you with that. Let's solve each equation one by one:

1. $-\frac{1}{4}x = -10$ To solve for $x$, multiply both sides by $-4$: $x = -10 \times -4 = 40$

2. $4x - 55 = 2x + 105$ Subtract $2x$ from both sides: $2x - 55 = 105$ Add $55$ to both sides: $2x = 160$ Divide by $2$: $x = 80$

3. $2(x+3) = 4x - 20$ Distribute the $2$ on the left side: $2x + 6 = 4x - 20$ Subtract $2x$ from both sides: $6 = 2x - 20$ Add $20$ to both sides: $26 = 2x$ Divide by $2$: $x = 13$

4. $4x - (7x - 35) = 17$ Distribute the negative sign inside the parentheses: $4x - 7x + 35 = 17$ Simplify: $-3x + 35 = 17$ Subtract $35$ from both sides: $-3x = -18$ Divide by $-3$: $x = 6$

5. $5x - (7x - 29) = 7$ Distribute the negative sign inside the parentheses: $5x - 7x + 29 = 7$ Simplify: $-2x + 29 = 7$ Subtract $29$ from both sides: $-2x = -22$ Divide by $-2$: $x = 11$

6. $3x - (9x - 70) = 5(4-x)$ Distribute the negative sign on the left side and the $5$ on the right side: $3x - 9x + 70 = 20 - 5x$ Simplify: $-6x + 70 = 20 - 5x$ Add $5x$ to both sides: $-6x + 5x + 70 = 20$ $-x + 70 = 20$ Subtract $70$ from both sides: $-x = -50$ Multiply by $-1$ to solve for $x$: $x = 50$

So, the solutions for the given equations are:

1. $x = 40$
2. $x = 80$
3. $x = 13$
4. $x = 6$
5. $x = 11$
6. $x = 50$