5x-3=-6x-58

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Solution for 5x-3=-6x-58 equation:


Simplifying
5x + -3 = -6x + -58

Reorder the terms:
-3 + 5x = -6x + -58

Reorder the terms:
-3 + 5x = -58 + -6x

Solving
-3 + 5x = -58 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-3 + 5x + 6x = -58 + -6x + 6x

Combine like terms: 5x + 6x = 11x
-3 + 11x = -58 + -6x + 6x

Combine like terms: -6x + 6x = 0
-3 + 11x = -58 + 0
-3 + 11x = -58

Add '3' to each side of the equation.
-3 + 3 + 11x = -58 + 3

Combine like terms: -3 + 3 = 0
0 + 11x = -58 + 3
11x = -58 + 3

Combine like terms: -58 + 3 = -55
11x = -55

Divide each side by '11'.
x = -5

Simplifying
x = -5

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