5x+10=9x-6

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Solution for 5x+10=9x-6 equation:


Simplifying
5x + 10 = 9x + -6

Reorder the terms:
10 + 5x = 9x + -6

Reorder the terms:
10 + 5x = -6 + 9x

Solving
10 + 5x = -6 + 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.
10 + 5x + -9x = -6 + 9x + -9x

Combine like terms: 5x + -9x = -4x
10 + -4x = -6 + 9x + -9x

Combine like terms: 9x + -9x = 0
10 + -4x = -6 + 0
10 + -4x = -6

Add '-10' to each side of the equation.
10 + -10 + -4x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = -6 + -10
-4x = -6 + -10

Combine like terms: -6 + -10 = -16
-4x = -16

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

Simplifying
x = 4

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