x-4=3(3x+4)

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


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

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

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

Solving
-4 + x = 12 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-4 + x + -9x = 12 + 9x + -9x

Combine like terms: x + -9x = -8x
-4 + -8x = 12 + 9x + -9x

Combine like terms: 9x + -9x = 0
-4 + -8x = 12 + 0
-4 + -8x = 12

Add '4' to each side of the equation.
-4 + 4 + -8x = 12 + 4

Combine like terms: -4 + 4 = 0
0 + -8x = 12 + 4
-8x = 12 + 4

Combine like terms: 12 + 4 = 16
-8x = 16

Divide each side by '-8'.
x = -2

Simplifying
x = -2

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