3x+3=45x-81

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Solution for 3x+3=45x-81 equation:


Simplifying
3x + 3 = 45x + -81

Reorder the terms:
3 + 3x = 45x + -81

Reorder the terms:
3 + 3x = -81 + 45x

Solving
3 + 3x = -81 + 45x

Solving for variable 'x'.

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

Add '-45x' to each side of the equation.
3 + 3x + -45x = -81 + 45x + -45x

Combine like terms: 3x + -45x = -42x
3 + -42x = -81 + 45x + -45x

Combine like terms: 45x + -45x = 0
3 + -42x = -81 + 0
3 + -42x = -81

Add '-3' to each side of the equation.
3 + -3 + -42x = -81 + -3

Combine like terms: 3 + -3 = 0
0 + -42x = -81 + -3
-42x = -81 + -3

Combine like terms: -81 + -3 = -84
-42x = -84

Divide each side by '-42'.
x = 2

Simplifying
x = 2

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