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

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


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

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

Reorder the terms:
-9 + 4x = 3(4 + 2x)
-9 + 4x = (4 * 3 + 2x * 3)
-9 + 4x = (12 + 6x)

Solving
-9 + 4x = 12 + 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 + 4x + -6x = 12 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-9 + -2x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-9 + -2x = 12 + 0
-9 + -2x = 12

Add '9' to each side of the equation.
-9 + 9 + -2x = 12 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = 12 + 9
-2x = 12 + 9

Combine like terms: 12 + 9 = 21
-2x = 21

Divide each side by '-2'.
x = -10.5

Simplifying
x = -10.5

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