(x*7)+5=(x+7)*5

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Solution for (x*7)+5=(x+7)*5 equation:


Simplifying
(x * 7) + 5 = (x + 7) * 5

Reorder the terms for easier multiplication:
(7x) + 5 = (x + 7) * 5

Reorder the terms:
5 + (7x) = (x + 7) * 5

Reorder the terms:
5 + (7x) = (7 + x) * 5

Reorder the terms for easier multiplication:
5 + (7x) = 5(7 + x)
5 + (7x) = (7 * 5 + x * 5)
5 + (7x) = (35 + 5x)

Solving
5 + (7x) = 35 + 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.
5 + (7x) + -5x = 35 + 5x + -5x

Combine like terms: (7x) + -5x = 2x
5 + 2x = 35 + 5x + -5x

Combine like terms: 5x + -5x = 0
5 + 2x = 35 + 0
5 + 2x = 35

Add '-5' to each side of the equation.
5 + -5 + 2x = 35 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 35 + -5
2x = 35 + -5

Combine like terms: 35 + -5 = 30
2x = 30

Divide each side by '2'.
x = 15

Simplifying
x = 15

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