6x-5=x+40

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Solution for 6x-5=x+40 equation:


Simplifying
6x + -5 = x + 40

Reorder the terms:
-5 + 6x = x + 40

Reorder the terms:
-5 + 6x = 40 + x

Solving
-5 + 6x = 40 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-5 + 6x + -1x = 40 + x + -1x

Combine like terms: 6x + -1x = 5x
-5 + 5x = 40 + x + -1x

Combine like terms: x + -1x = 0
-5 + 5x = 40 + 0
-5 + 5x = 40

Add '5' to each side of the equation.
-5 + 5 + 5x = 40 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = 40 + 5
5x = 40 + 5

Combine like terms: 40 + 5 = 45
5x = 45

Divide each side by '5'.
x = 9

Simplifying
x = 9

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