5x+2=15x-82

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Solution for 5x+2=15x-82 equation:


Simplifying
5x + 2 = 15x + -82

Reorder the terms:
2 + 5x = 15x + -82

Reorder the terms:
2 + 5x = -82 + 15x

Solving
2 + 5x = -82 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
2 + 5x + -15x = -82 + 15x + -15x

Combine like terms: 5x + -15x = -10x
2 + -10x = -82 + 15x + -15x

Combine like terms: 15x + -15x = 0
2 + -10x = -82 + 0
2 + -10x = -82

Add '-2' to each side of the equation.
2 + -2 + -10x = -82 + -2

Combine like terms: 2 + -2 = 0
0 + -10x = -82 + -2
-10x = -82 + -2

Combine like terms: -82 + -2 = -84
-10x = -84

Divide each side by '-10'.
x = 8.4

Simplifying
x = 8.4

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