2x+9=10x-15

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Solution for 2x+9=10x-15 equation:


Simplifying
2x + 9 = 10x + -15

Reorder the terms:
9 + 2x = 10x + -15

Reorder the terms:
9 + 2x = -15 + 10x

Solving
9 + 2x = -15 + 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.
9 + 2x + -10x = -15 + 10x + -10x

Combine like terms: 2x + -10x = -8x
9 + -8x = -15 + 10x + -10x

Combine like terms: 10x + -10x = 0
9 + -8x = -15 + 0
9 + -8x = -15

Add '-9' to each side of the equation.
9 + -9 + -8x = -15 + -9

Combine like terms: 9 + -9 = 0
0 + -8x = -15 + -9
-8x = -15 + -9

Combine like terms: -15 + -9 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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