45-x=2x-6

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Solution for 45-x=2x-6 equation:


Simplifying
45 + -1x = 2x + -6

Reorder the terms:
45 + -1x = -6 + 2x

Solving
45 + -1x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
45 + -1x + -2x = -6 + 2x + -2x

Combine like terms: -1x + -2x = -3x
45 + -3x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
45 + -3x = -6 + 0
45 + -3x = -6

Add '-45' to each side of the equation.
45 + -45 + -3x = -6 + -45

Combine like terms: 45 + -45 = 0
0 + -3x = -6 + -45
-3x = -6 + -45

Combine like terms: -6 + -45 = -51
-3x = -51

Divide each side by '-3'.
x = 17

Simplifying
x = 17

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