4(4-6x-9x)+6(9x+6)=16

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Solution for 4(4-6x-9x)+6(9x+6)=16 equation:


Simplifying
4(4 + -6x + -9x) + 6(9x + 6) = 16

Combine like terms: -6x + -9x = -15x
4(4 + -15x) + 6(9x + 6) = 16
(4 * 4 + -15x * 4) + 6(9x + 6) = 16
(16 + -60x) + 6(9x + 6) = 16

Reorder the terms:
16 + -60x + 6(6 + 9x) = 16
16 + -60x + (6 * 6 + 9x * 6) = 16
16 + -60x + (36 + 54x) = 16

Reorder the terms:
16 + 36 + -60x + 54x = 16

Combine like terms: 16 + 36 = 52
52 + -60x + 54x = 16

Combine like terms: -60x + 54x = -6x
52 + -6x = 16

Solving
52 + -6x = 16

Solving for variable 'x'.

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

Add '-52' to each side of the equation.
52 + -52 + -6x = 16 + -52

Combine like terms: 52 + -52 = 0
0 + -6x = 16 + -52
-6x = 16 + -52

Combine like terms: 16 + -52 = -36
-6x = -36

Divide each side by '-6'.
x = 6

Simplifying
x = 6

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