4x-49=2x-11

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Solution for 4x-49=2x-11 equation:


Simplifying
4x + -49 = 2x + -11

Reorder the terms:
-49 + 4x = 2x + -11

Reorder the terms:
-49 + 4x = -11 + 2x

Solving
-49 + 4x = -11 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-49 + 4x + -2x = -11 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-49 + 2x = -11 + 2x + -2x

Combine like terms: 2x + -2x = 0
-49 + 2x = -11 + 0
-49 + 2x = -11

Add '49' to each side of the equation.
-49 + 49 + 2x = -11 + 49

Combine like terms: -49 + 49 = 0
0 + 2x = -11 + 49
2x = -11 + 49

Combine like terms: -11 + 49 = 38
2x = 38

Divide each side by '2'.
x = 19

Simplifying
x = 19

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