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

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


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

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

Reorder the terms:
22 + x = 2(1 + 2x) + -1
22 + x = (1 * 2 + 2x * 2) + -1
22 + x = (2 + 4x) + -1

Reorder the terms:
22 + x = 2 + -1 + 4x

Combine like terms: 2 + -1 = 1
22 + x = 1 + 4x

Solving
22 + x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
22 + x + -4x = 1 + 4x + -4x

Combine like terms: x + -4x = -3x
22 + -3x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
22 + -3x = 1 + 0
22 + -3x = 1

Add '-22' to each side of the equation.
22 + -22 + -3x = 1 + -22

Combine like terms: 22 + -22 = 0
0 + -3x = 1 + -22
-3x = 1 + -22

Combine like terms: 1 + -22 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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