9x-10=2(3x+7)

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Solution for 9x-10=2(3x+7) equation:


Simplifying
9x + -10 = 2(3x + 7)

Reorder the terms:
-10 + 9x = 2(3x + 7)

Reorder the terms:
-10 + 9x = 2(7 + 3x)
-10 + 9x = (7 * 2 + 3x * 2)
-10 + 9x = (14 + 6x)

Solving
-10 + 9x = 14 + 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.
-10 + 9x + -6x = 14 + 6x + -6x

Combine like terms: 9x + -6x = 3x
-10 + 3x = 14 + 6x + -6x

Combine like terms: 6x + -6x = 0
-10 + 3x = 14 + 0
-10 + 3x = 14

Add '10' to each side of the equation.
-10 + 10 + 3x = 14 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = 14 + 10
3x = 14 + 10

Combine like terms: 14 + 10 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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