x+9=2(3x-4)

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Solution for x+9=2(3x-4) equation:


Simplifying
x + 9 = 2(3x + -4)

Reorder the terms:
9 + x = 2(3x + -4)

Reorder the terms:
9 + x = 2(-4 + 3x)
9 + x = (-4 * 2 + 3x * 2)
9 + x = (-8 + 6x)

Solving
9 + x = -8 + 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.
9 + x + -6x = -8 + 6x + -6x

Combine like terms: x + -6x = -5x
9 + -5x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + -5x = -8 + 0
9 + -5x = -8

Add '-9' to each side of the equation.
9 + -9 + -5x = -8 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = -8 + -9
-5x = -8 + -9

Combine like terms: -8 + -9 = -17
-5x = -17

Divide each side by '-5'.
x = 3.4

Simplifying
x = 3.4

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