2(5x+3)+22=25x-2

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Solution for 2(5x+3)+22=25x-2 equation:


Simplifying
2(5x + 3) + 22 = 25x + -2

Reorder the terms:
2(3 + 5x) + 22 = 25x + -2
(3 * 2 + 5x * 2) + 22 = 25x + -2
(6 + 10x) + 22 = 25x + -2

Reorder the terms:
6 + 22 + 10x = 25x + -2

Combine like terms: 6 + 22 = 28
28 + 10x = 25x + -2

Reorder the terms:
28 + 10x = -2 + 25x

Solving
28 + 10x = -2 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
28 + 10x + -25x = -2 + 25x + -25x

Combine like terms: 10x + -25x = -15x
28 + -15x = -2 + 25x + -25x

Combine like terms: 25x + -25x = 0
28 + -15x = -2 + 0
28 + -15x = -2

Add '-28' to each side of the equation.
28 + -28 + -15x = -2 + -28

Combine like terms: 28 + -28 = 0
0 + -15x = -2 + -28
-15x = -2 + -28

Combine like terms: -2 + -28 = -30
-15x = -30

Divide each side by '-15'.
x = 2

Simplifying
x = 2

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