11x-5=6x+45

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Solution for 11x-5=6x+45 equation:


Simplifying
11x + -5 = 6x + 45

Reorder the terms:
-5 + 11x = 6x + 45

Reorder the terms:
-5 + 11x = 45 + 6x

Solving
-5 + 11x = 45 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-5 + 11x + -6x = 45 + 6x + -6x

Combine like terms: 11x + -6x = 5x
-5 + 5x = 45 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + 5x = 45 + 0
-5 + 5x = 45

Add '5' to each side of the equation.
-5 + 5 + 5x = 45 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = 45 + 5
5x = 45 + 5

Combine like terms: 45 + 5 = 50
5x = 50

Divide each side by '5'.
x = 10

Simplifying
x = 10

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