x+6=3x-40

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


Simplifying
x + 6 = 3x + -40

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

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

Solving
6 + x = -40 + 3x

Solving for variable 'x'.

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

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

Combine like terms: x + -3x = -2x
6 + -2x = -40 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -2x = -40 + 0
6 + -2x = -40

Add '-6' to each side of the equation.
6 + -6 + -2x = -40 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -40 + -6
-2x = -40 + -6

Combine like terms: -40 + -6 = -46
-2x = -46

Divide each side by '-2'.
x = 23

Simplifying
x = 23

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