Question

please tell me in step by step​

Answer 1

Answer:

x = 5/3

Step-by-step explanation:

5x-13 = 2x-8

Transport 2x to LHS and -13 to RHS

=> 5x-2x = -8+13

=> 3x = 5

=> x = 5/3

Answer 2

Answer:

Simplifying

5x -13 = 2x + 8

Reorder the terms:

-13 + 5x = 2x + 8

Reorder the terms:

-13 + 5x = 8 + 2x

Solving

-13 + 5x = 8 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-13 + 5x + -2x = 8 + 2x + -2x

Combine like terms: 5x + -2x = 3x

-13 + 3x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0

-13 + 3x = 8 + 0

-13 + 3x = 8

Add '13' to each side of the equation.

-13 + 13 + 3x = 8 + 13

Combine like terms: -13 + 13 = 0

0 + 3x = 8 + 13

3x = 8 + 13

Combine like terms: 8 + 13 = 21

3x = 21

Divide each side by '3'.

x = 7

Simplifying

x = 7

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