3x+5+6x+14=15x-5

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Solution for 3x+5+6x+14=15x-5 equation:


Simplifying
3x + 5 + 6x + 14 = 15x + -5

Reorder the terms:
5 + 14 + 3x + 6x = 15x + -5

Combine like terms: 5 + 14 = 19
19 + 3x + 6x = 15x + -5

Combine like terms: 3x + 6x = 9x
19 + 9x = 15x + -5

Reorder the terms:
19 + 9x = -5 + 15x

Solving
19 + 9x = -5 + 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.
19 + 9x + -15x = -5 + 15x + -15x

Combine like terms: 9x + -15x = -6x
19 + -6x = -5 + 15x + -15x

Combine like terms: 15x + -15x = 0
19 + -6x = -5 + 0
19 + -6x = -5

Add '-19' to each side of the equation.
19 + -19 + -6x = -5 + -19

Combine like terms: 19 + -19 = 0
0 + -6x = -5 + -19
-6x = -5 + -19

Combine like terms: -5 + -19 = -24
-6x = -24

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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