3(2x-3)-9x-4=2x+16

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Solution for 3(2x-3)-9x-4=2x+16 equation:


Simplifying
3(2x + -3) + -9x + -4 = 2x + 16

Reorder the terms:
3(-3 + 2x) + -9x + -4 = 2x + 16
(-3 * 3 + 2x * 3) + -9x + -4 = 2x + 16
(-9 + 6x) + -9x + -4 = 2x + 16

Reorder the terms:
-9 + -4 + 6x + -9x = 2x + 16

Combine like terms: -9 + -4 = -13
-13 + 6x + -9x = 2x + 16

Combine like terms: 6x + -9x = -3x
-13 + -3x = 2x + 16

Reorder the terms:
-13 + -3x = 16 + 2x

Solving
-13 + -3x = 16 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-13 + -3x + -2x = 16 + 2x + -2x

Combine like terms: -3x + -2x = -5x
-13 + -5x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-13 + -5x = 16 + 0
-13 + -5x = 16

Add '13' to each side of the equation.
-13 + 13 + -5x = 16 + 13

Combine like terms: -13 + 13 = 0
0 + -5x = 16 + 13
-5x = 16 + 13

Combine like terms: 16 + 13 = 29
-5x = 29

Divide each side by '-5'.
x = -5.8

Simplifying
x = -5.8

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