2x-22=5(1-5x)

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Solution for 2x-22=5(1-5x) equation:


Simplifying
2x + -22 = 5(1 + -5x)

Reorder the terms:
-22 + 2x = 5(1 + -5x)
-22 + 2x = (1 * 5 + -5x * 5)
-22 + 2x = (5 + -25x)

Solving
-22 + 2x = 5 + -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.
-22 + 2x + 25x = 5 + -25x + 25x

Combine like terms: 2x + 25x = 27x
-22 + 27x = 5 + -25x + 25x

Combine like terms: -25x + 25x = 0
-22 + 27x = 5 + 0
-22 + 27x = 5

Add '22' to each side of the equation.
-22 + 22 + 27x = 5 + 22

Combine like terms: -22 + 22 = 0
0 + 27x = 5 + 22
27x = 5 + 22

Combine like terms: 5 + 22 = 27
27x = 27

Divide each side by '27'.
x = 1

Simplifying
x = 1

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