10x+9=6x-15

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


Simplifying
10x + 9 = 6x + -15

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

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

Solving
9 + 10x = -15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
9 + 10x + -6x = -15 + 6x + -6x

Combine like terms: 10x + -6x = 4x
9 + 4x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + 4x = -15 + 0
9 + 4x = -15

Add '-9' to each side of the equation.
9 + -9 + 4x = -15 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = -15 + -9
4x = -15 + -9

Combine like terms: -15 + -9 = -24
4x = -24

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

Simplifying
x = -6

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