9x-2=2(3x+5)

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Solution for 9x-2=2(3x+5) equation:


Simplifying
9x + -2 = 2(3x + 5)

Reorder the terms:
-2 + 9x = 2(3x + 5)

Reorder the terms:
-2 + 9x = 2(5 + 3x)
-2 + 9x = (5 * 2 + 3x * 2)
-2 + 9x = (10 + 6x)

Solving
-2 + 9x = 10 + 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.
-2 + 9x + -6x = 10 + 6x + -6x

Combine like terms: 9x + -6x = 3x
-2 + 3x = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + 3x = 10 + 0
-2 + 3x = 10

Add '2' to each side of the equation.
-2 + 2 + 3x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 10 + 2
3x = 10 + 2

Combine like terms: 10 + 2 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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