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

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


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

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

Reorder the terms:
10 + 6x = -2 + 9x

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

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

Combine like terms: 9x + -9x = 0
10 + -3x = -2 + 0
10 + -3x = -2

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

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

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

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

Simplifying
x = 4

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