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

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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)