6x+31=15x-30

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Solution for 6x+31=15x-30 equation:


Simplifying
6x + 31 = 15x + -30

Reorder the terms:
31 + 6x = 15x + -30

Reorder the terms:
31 + 6x = -30 + 15x

Solving
31 + 6x = -30 + 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.
31 + 6x + -15x = -30 + 15x + -15x

Combine like terms: 6x + -15x = -9x
31 + -9x = -30 + 15x + -15x

Combine like terms: 15x + -15x = 0
31 + -9x = -30 + 0
31 + -9x = -30

Add '-31' to each side of the equation.
31 + -31 + -9x = -30 + -31

Combine like terms: 31 + -31 = 0
0 + -9x = -30 + -31
-9x = -30 + -31

Combine like terms: -30 + -31 = -61
-9x = -61

Divide each side by '-9'.
x = 6.777777778

Simplifying
x = 6.777777778

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