What is the value of x in the equation 3(x − 2) + 5 = 2(5x − 4)

x = 1

Step-by-step explanation:

3(x − 2) + 5 = 2(5x − 4)

Distributive property

3 * x - 3 * 2 + 5 = 2 * 5x - 2 * 4

3x - 6 + 5 = 10x - 8

Combine like terms

3x - 1 = 10x - 8

Add 8 on both sides

3x - 1 + 8 = 10x - 8 + 8

3x + 7 = 10x

Subtract 3x on both sides

3x - 3x + 7 = 10x - 3x

7 = 7x

Divide by 7 on both sides to isolate the variable

7/7 = 7x/7

1 = x

Check

3(x − 2) + 5 = 2(5x − 4)

Replace the "x" with 1

3 ( 1 - 2 ) + 5 = 2 ( 5 * 1 - 4)

3 * -1 + 5 = 2 * 1

2 = 2

Correct

Hope this helped!

Have a day!

Step-by-step explanation:

3(x - 2) + 5 = 2(5x - 4)

3x - 2 + 5 = 10x - 8

3x + 3 = 10x - 8

3x = 10x - 8 - 3

3x = 10x - 11

3x + 11 = 10x

11 = 10x - 3x

11 = 7x

11/7 = x

therefore, x = 1 4/ 7 ( mixed fraction form)

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)