45x+6=87x-330

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Solution for 45x+6=87x-330 equation:


Simplifying
45x + 6 = 87x + -330

Reorder the terms:
6 + 45x = 87x + -330

Reorder the terms:
6 + 45x = -330 + 87x

Solving
6 + 45x = -330 + 87x

Solving for variable 'x'.

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

Add '-87x' to each side of the equation.
6 + 45x + -87x = -330 + 87x + -87x

Combine like terms: 45x + -87x = -42x
6 + -42x = -330 + 87x + -87x

Combine like terms: 87x + -87x = 0
6 + -42x = -330 + 0
6 + -42x = -330

Add '-6' to each side of the equation.
6 + -6 + -42x = -330 + -6

Combine like terms: 6 + -6 = 0
0 + -42x = -330 + -6
-42x = -330 + -6

Combine like terms: -330 + -6 = -336
-42x = -336

Divide each side by '-42'.
x = 8

Simplifying
x = 8

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