x*3+40=x*6-5

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Solution for x*3+40=x*6-5 equation: 


Simplifying
x * 3 + 40 = x * 6 + -5

Reorder the terms for easier multiplication:
3x + 40 = x * 6 + -5

Reorder the terms:
40 + 3x = x * 6 + -5

Reorder the terms for easier multiplication:
40 + 3x = 6x + -5

Reorder the terms:
40 + 3x = -5 + 6x

Solving
40 + 3x = -5 + 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.
40 + 3x + -6x = -5 + 6x + -6x

Combine like terms: 3x + -6x = -3x
40 + -3x = -5 + 6x + -6x

Combine like terms: 6x + -6x = 0
40 + -3x = -5 + 0
40 + -3x = -5

Add '-40' to each side of the equation.
40 + -40 + -3x = -5 + -40

Combine like terms: 40 + -40 = 0
0 + -3x = -5 + -40
-3x = -5 + -40

Combine like terms: -5 + -40 = -45
-3x = -45

Divide each side by '-3'.
x = 15

Simplifying
x = 15

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