10x+6=15x-9

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Solution for 10x+6=15x-9 equation:


Simplifying
10x + 6 = 15x + -9

Reorder the terms:
6 + 10x = 15x + -9

Reorder the terms:
6 + 10x = -9 + 15x

Solving
6 + 10x = -9 + 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 + 10x + -15x = -9 + 15x + -15x

Combine like terms: 10x + -15x = -5x
6 + -5x = -9 + 15x + -15x

Combine like terms: 15x + -15x = 0
6 + -5x = -9 + 0
6 + -5x = -9

Add '-6' to each side of the equation.
6 + -6 + -5x = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -9 + -6
-5x = -9 + -6

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

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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