x*7+15=x*5+49

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Solution for x*7+15=x*5+49 equation:


Simplifying
x * 7 + 15 = x * 5 + 49

Reorder the terms for easier multiplication:
7x + 15 = x * 5 + 49

Reorder the terms:
15 + 7x = x * 5 + 49

Reorder the terms for easier multiplication:
15 + 7x = 5x + 49

Reorder the terms:
15 + 7x = 49 + 5x

Solving
15 + 7x = 49 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
15 + 7x + -5x = 49 + 5x + -5x

Combine like terms: 7x + -5x = 2x
15 + 2x = 49 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + 2x = 49 + 0
15 + 2x = 49

Add '-15' to each side of the equation.
15 + -15 + 2x = 49 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 49 + -15
2x = 49 + -15

Combine like terms: 49 + -15 = 34
2x = 34

Divide each side by '2'.
x = 17

Simplifying
x = 17

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