5x-2=15x-78

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Solution for 5x-2=15x-78 equation:


Simplifying
5x + -2 = 15x + -78

Reorder the terms:
-2 + 5x = 15x + -78

Reorder the terms:
-2 + 5x = -78 + 15x

Solving
-2 + 5x = -78 + 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 = -78 + 15x + -15x

Combine like terms: 5x + -15x = -10x
-2 + -10x = -78 + 15x + -15x

Combine like terms: 15x + -15x = 0
-2 + -10x = -78 + 0
-2 + -10x = -78

Add '2' to each side of the equation.
-2 + 2 + -10x = -78 + 2

Combine like terms: -2 + 2 = 0
0 + -10x = -78 + 2
-10x = -78 + 2

Combine like terms: -78 + 2 = -76
-10x = -76

Divide each side by '-10'.
x = 7.6

Simplifying
x = 7.6

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