(2x+45)=3x-6

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Solution for (2x+45)=3x-6 equation:


Simplifying
(2x + 45) = 3x + -6

Reorder the terms:
(45 + 2x) = 3x + -6

Remove parenthesis around (45 + 2x)
45 + 2x = 3x + -6

Reorder the terms:
45 + 2x = -6 + 3x

Solving
45 + 2x = -6 + 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.
45 + 2x + -3x = -6 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
45 + -1x = -6 + 0
45 + -1x = -6

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

Combine like terms: 45 + -45 = 0
0 + -1x = -6 + -45
-1x = -6 + -45

Combine like terms: -6 + -45 = -51
-1x = -51

Divide each side by '-1'.
x = 51

Simplifying
x = 51

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