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)

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this