5x-2=9x+10

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Solution for 5x-2=9x+10 equation:


Simplifying
5x + -2 = 9x + 10

Reorder the terms:
-2 + 5x = 9x + 10

Reorder the terms:
-2 + 5x = 10 + 9x

Solving
-2 + 5x = 10 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-2 + 5x + -9x = 10 + 9x + -9x

Combine like terms: 5x + -9x = -4x
-2 + -4x = 10 + 9x + -9x

Combine like terms: 9x + -9x = 0
-2 + -4x = 10 + 0
-2 + -4x = 10

Add '2' to each side of the equation.
-2 + 2 + -4x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = 10 + 2
-4x = 10 + 2

Combine like terms: 10 + 2 = 12
-4x = 12

Divide each side by '-4'.
x = -3

Simplifying
x = -3

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