(10x+2)2=(15x+19)

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Solution for (10x+2)2=(15x+19) equation:


Simplifying
(10x + 2) * 2 = (15x + 19)

Reorder the terms:
(2 + 10x) * 2 = (15x + 19)

Reorder the terms for easier multiplication:
2(2 + 10x) = (15x + 19)
(2 * 2 + 10x * 2) = (15x + 19)
(4 + 20x) = (15x + 19)

Reorder the terms:
4 + 20x = (19 + 15x)

Remove parenthesis around (19 + 15x)
4 + 20x = 19 + 15x

Solving
4 + 20x = 19 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
4 + 20x + -15x = 19 + 15x + -15x

Combine like terms: 20x + -15x = 5x
4 + 5x = 19 + 15x + -15x

Combine like terms: 15x + -15x = 0
4 + 5x = 19 + 0
4 + 5x = 19

Add '-4' to each side of the equation.
4 + -4 + 5x = 19 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 19 + -4
5x = 19 + -4

Combine like terms: 19 + -4 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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