5x-11=13x-49

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Solution for 5x-11=13x-49 equation:


Simplifying
5x + -11 = 13x + -49

Reorder the terms:
-11 + 5x = 13x + -49

Reorder the terms:
-11 + 5x = -49 + 13x

Solving
-11 + 5x = -49 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-11 + 5x + -13x = -49 + 13x + -13x

Combine like terms: 5x + -13x = -8x
-11 + -8x = -49 + 13x + -13x

Combine like terms: 13x + -13x = 0
-11 + -8x = -49 + 0
-11 + -8x = -49

Add '11' to each side of the equation.
-11 + 11 + -8x = -49 + 11

Combine like terms: -11 + 11 = 0
0 + -8x = -49 + 11
-8x = -49 + 11

Combine like terms: -49 + 11 = -38
-8x = -38

Divide each side by '-8'.
x = 4.75

Simplifying
x = 4.75

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