5(5x+1)=7(2x+7)

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Solution for 5(5x+1)=7(2x+7) equation:


Simplifying
5(5x + 1) = 7(2x + 7)

Reorder the terms:
5(1 + 5x) = 7(2x + 7)
(1 * 5 + 5x * 5) = 7(2x + 7)
(5 + 25x) = 7(2x + 7)

Reorder the terms:
5 + 25x = 7(7 + 2x)
5 + 25x = (7 * 7 + 2x * 7)
5 + 25x = (49 + 14x)

Solving
5 + 25x = 49 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
5 + 25x + -14x = 49 + 14x + -14x

Combine like terms: 25x + -14x = 11x
5 + 11x = 49 + 14x + -14x

Combine like terms: 14x + -14x = 0
5 + 11x = 49 + 0
5 + 11x = 49

Add '-5' to each side of the equation.
5 + -5 + 11x = 49 + -5

Combine like terms: 5 + -5 = 0
0 + 11x = 49 + -5
11x = 49 + -5

Combine like terms: 49 + -5 = 44
11x = 44

Divide each side by '11'.
x = 4

Simplifying
x = 4

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