6x+1=15x-109

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Solution for 6x+1=15x-109 equation:


Simplifying
6x + 1 = 15x + -109

Reorder the terms:
1 + 6x = 15x + -109

Reorder the terms:
1 + 6x = -109 + 15x

Solving
1 + 6x = -109 + 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.
1 + 6x + -15x = -109 + 15x + -15x

Combine like terms: 6x + -15x = -9x
1 + -9x = -109 + 15x + -15x

Combine like terms: 15x + -15x = 0
1 + -9x = -109 + 0
1 + -9x = -109

Add '-1' to each side of the equation.
1 + -1 + -9x = -109 + -1

Combine like terms: 1 + -1 = 0
0 + -9x = -109 + -1
-9x = -109 + -1

Combine like terms: -109 + -1 = -110
-9x = -110

Divide each side by '-9'.
x = 12.22222222

Simplifying
x = 12.22222222

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