Question

1) 5(6+х)-5(2х+7)=0, 2) 3х+6=5(х-1)+10 3) 4(1-х)=3(2х+3) 4) 12х-(7-3х)=4х 5) 8х+3=1-(2х+4) 6) 0,7(х-5)=х-0,1 7) 1,5(х-6)=1,4(х+5) 8) 9-х=04(3х-5) 9) 1,6(5-х)=1,5(4-х)

Answer 1

В каждом уравнении надо раскрыть скобки, х в леву часть, без х в правую.
1) 5(6+х)-5(2х+7)=0,⇒ 30 +5х -10х -35 = 0,⇒ -5х = 5, х= -1
2) 3х+6=5(х-1)+10, ⇒3х +6 = 5х -5 +10,⇒ -2х = -1, х = -0,5
3) 4(1-х)=3(2х+3), ⇒4 - 4х = 6х +9,⇒ -10х = 5, ⇒ х = -0,5
4) 12х-(7-3х)=4х,⇒ 12х -7 +3х = 4х,⇒ 11х = 7, ⇒ х = 7/11
5) 8х+3=1-(2х+4), ⇒8х +3 = 1 -2х -4, ⇒10х = -6,⇒ х = -0,6
6) 0,7(х-5)=х-0,1,⇒0,7х -3,5 = х -0,1,⇒ - 0,3х = 3,4, = х = -34/3
7) 1,5(х-6)=1,4(х+5)
8) 9-х=04(3х-5)
9) 1,6(5-х)=1,5(4-х)

Answer 2

Let's solve each of the given equations step by step:

1. 5(6+х) - 5(2х+7) = 0

Distribute the terms: 30 + 5х - 10х - 35 = 0

Combine like terms: -5х - 5 = 0

Add 5 to both sides: -5х = 5

Divide by -5: х = -1

2. 3х + 6 = 5(х-1) + 10

Distribute the terms: 3х + 6 = 5х - 5 + 10

Combine like terms: 3х + 6 = 5х + 5

Subtract 3х from both sides: 6 = 2х + 5

Subtract 5 from both sides: 1 = 2х

Divide by 2: х = 1/2

3. 4(1-х) = 3(2х+3)

Distribute the terms: 4 - 4х = 6х + 9

Add 4х to both sides: 4 = 10х + 9

Subtract 9 from both sides: -5 = 10х

Divide by 10: х = -1/2

4. 12х - (7-3х) = 4х

Remove the parentheses: 12х - 7 + 3х = 4х

Combine like terms: 15х - 7 = 4х

Subtract 4х from both sides: 11х - 7 = 0

Add 7 to both sides: 11х = 7

Divide by 11: х = 7/11

5. 8х + 3 = 1 - (2х+4)

Distribute the negative sign: 8х + 3 = 1 - 2х - 4

Combine like terms: 8х + 3 = -2х - 3

Add 2х to both sides: 10х + 3 = -3

Subtract 3 from both sides: 10х = -6

Divide by 10: х = -6/10 = -3/5

6. 0.7(х-5) = х - 0.1

Distribute the term: 0.7х - 3.5 = х - 0.1

Subtract 0.7х from both sides: -3.5 = 0.3х - 0.1

Add 0.1 to both sides: -3.4 = 0.3х

Divide by 0.3: х = -3.4/0.3 ≈ -11.33

7. 1.5(х-6) = 1.4(х+5)

Distribute the terms: 1.5х - 9 = 1.4х + 7

Subtract 1.4х from both sides: 0.1х - 9 = 7

Add 9 to both sides: 0.1х = 16

Divide by 0.1: х = 160

8. 9-х = 0.4(3х-5)

Distribute the term: 9 - х = 1.2х - 2

Add х to both sides: 9 = 2.2х - 2

Add 2 to both sides: 11 = 2.2х

Divide by 2.2: х = 11/2.2 =