5x+45=3x-6

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Solution for 5x+45=3x-6 equation:


Simplifying
5x + 45 = 3x + -6

Reorder the terms:
45 + 5x = 3x + -6

Reorder the terms:
45 + 5x = -6 + 3x

Solving
45 + 5x = -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 + 5x + -3x = -6 + 3x + -3x

Combine like terms: 5x + -3x = 2x
45 + 2x = -6 + 3x + -3x

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

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

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

Combine like terms: -6 + -45 = -51
2x = -51

Divide each side by '2'.
x = -25.5

Simplifying
x = -25.5

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