Question

1)4x - 12=2x+162)0,3х+1=0,5х+53)-6(2х+7)=42​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

1) 4х -12=2х-6;

4х-2х=12-6;

2х=6;

х=6÷2;

х=3.

2) 0,3х+1=0,5х+5;

0,3х-0,5х=5-1;

-0,2х=4;

х=4÷(-0,2);

х= -20.

3) -6(2х+7)=42

-12х-42=42;

-12х=42+42;

-12х=84;

х=84÷(-12);

х=-7.

Answer 3

Let's solve each equation step by step:

1. 4x - 12 = 2x + 16

First, let's simplify the equation by combining like terms: 4x - 2x = 16 + 12

This simplifies to: 2x = 28

Next, let's isolate x by dividing both sides of the equation by 2: (2x)/2 = 28/2

This gives us: x = 14

So the solution to the equation is x = 14.

2. 0.3x + 1 = 0.5x + 5

First, let's eliminate the decimals by multiplying the entire equation by 10: 10(0.3x + 1) = 10(0.5x + 5)

This simplifies to: 3x + 10 = 5x + 50

Next, let's isolate x by subtracting 3x from both sides: 3x - 3x + 10 = 5x - 3x + 50

This gives us: 10 = 2x + 50

Next, let's isolate x by subtracting 50 from both sides: 10 - 50 = 2x + 50 - 50

This gives us: -40 = 2x

Finally, let's isolate x by dividing both sides of the equation by 2: (-40)/2 = (2x)/2

This gives us: -20 = x

So the solution to the equation is x = -20.

3. -6(2x + 7) = 42

Let's distribute the -6 to the terms inside the parentheses: -12x - 42 = 42

Next, let's isolate x by adding 42 to both sides of the equation: -12x - 42 + 42 = 42 + 42

This simplifies to: -12x = 84

Finally, let's isolate x by dividing both sides of the equation by -12: (-12x)/-12 = 84/-12

This gives us: x = -7

So the solution to the equation is x = -7.

Therefore, the solutions to the given equations are:

1. x = 14
2. x = -20
3. x = -7