2x+6=15x-13

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Solution for 2x+6=15x-13 equation:


Simplifying
2x + 6 = 15x + -13

Reorder the terms:
6 + 2x = 15x + -13

Reorder the terms:
6 + 2x = -13 + 15x

Solving
6 + 2x = -13 + 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.
6 + 2x + -15x = -13 + 15x + -15x

Combine like terms: 2x + -15x = -13x
6 + -13x = -13 + 15x + -15x

Combine like terms: 15x + -15x = 0
6 + -13x = -13 + 0
6 + -13x = -13

Add '-6' to each side of the equation.
6 + -6 + -13x = -13 + -6

Combine like terms: 6 + -6 = 0
0 + -13x = -13 + -6
-13x = -13 + -6

Combine like terms: -13 + -6 = -19
-13x = -19

Divide each side by '-13'.
x = 1.461538462

Simplifying
x = 1.461538462

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