5x+6=114-10x

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Solution for 5x+6=114-10x equation:


Simplifying
5x + 6 = 114 + -10x

Reorder the terms:
6 + 5x = 114 + -10x

Solving
6 + 5x = 114 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
6 + 5x + 10x = 114 + -10x + 10x

Combine like terms: 5x + 10x = 15x
6 + 15x = 114 + -10x + 10x

Combine like terms: -10x + 10x = 0
6 + 15x = 114 + 0
6 + 15x = 114

Add '-6' to each side of the equation.
6 + -6 + 15x = 114 + -6

Combine like terms: 6 + -6 = 0
0 + 15x = 114 + -6
15x = 114 + -6

Combine like terms: 114 + -6 = 108
15x = 108

Divide each side by '15'.
x = 7.2

Simplifying
x = 7.2

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