2x-5=9x+100

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Solution for 2x-5=9x+100 equation:


Simplifying
2x + -5 = 9x + 100

Reorder the terms:
-5 + 2x = 9x + 100

Reorder the terms:
-5 + 2x = 100 + 9x

Solving
-5 + 2x = 100 + 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.
-5 + 2x + -9x = 100 + 9x + -9x

Combine like terms: 2x + -9x = -7x
-5 + -7x = 100 + 9x + -9x

Combine like terms: 9x + -9x = 0
-5 + -7x = 100 + 0
-5 + -7x = 100

Add '5' to each side of the equation.
-5 + 5 + -7x = 100 + 5

Combine like terms: -5 + 5 = 0
0 + -7x = 100 + 5
-7x = 100 + 5

Combine like terms: 100 + 5 = 105
-7x = 105

Divide each side by '-7'.
x = -15

Simplifying
x = -15

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