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

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


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

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

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

Reorder the terms:
-4 + x = 9 + 9 + 12x

Combine like terms: 9 + 9 = 18
-4 + x = 18 + 12x

Solving
-4 + x = 18 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-4 + x + -12x = 18 + 12x + -12x

Combine like terms: x + -12x = -11x
-4 + -11x = 18 + 12x + -12x

Combine like terms: 12x + -12x = 0
-4 + -11x = 18 + 0
-4 + -11x = 18

Add '4' to each side of the equation.
-4 + 4 + -11x = 18 + 4

Combine like terms: -4 + 4 = 0
0 + -11x = 18 + 4
-11x = 18 + 4

Combine like terms: 18 + 4 = 22
-11x = 22

Divide each side by '-11'.
x = -2

Simplifying
x = -2

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