11x+49=4x+22

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Solution for 11x+49=4x+22 equation:


Simplifying
11x + 49 = 4x + 22

Reorder the terms:
49 + 11x = 4x + 22

Reorder the terms:
49 + 11x = 22 + 4x

Solving
49 + 11x = 22 + 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.
49 + 11x + -4x = 22 + 4x + -4x

Combine like terms: 11x + -4x = 7x
49 + 7x = 22 + 4x + -4x

Combine like terms: 4x + -4x = 0
49 + 7x = 22 + 0
49 + 7x = 22

Add '-49' to each side of the equation.
49 + -49 + 7x = 22 + -49

Combine like terms: 49 + -49 = 0
0 + 7x = 22 + -49
7x = 22 + -49

Combine like terms: 22 + -49 = -27
7x = -27

Divide each side by '7'.
x = -3.857142857

Simplifying
x = -3.857142857

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