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

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


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

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

Remove parenthesis around (9 + 3x)
9 + 3x + -4 = 4(x + 3)

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

Combine like terms: 9 + -4 = 5
5 + 3x = 4(x + 3)

Reorder the terms:
5 + 3x = 4(3 + x)
5 + 3x = (3 * 4 + x * 4)
5 + 3x = (12 + 4x)

Solving
5 + 3x = 12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + 3x + -4x = 12 + 4x + -4x

Combine like terms: 3x + -4x = -1x
5 + -1x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -1x = 12 + 0
5 + -1x = 12

Add '-5' to each side of the equation.
5 + -5 + -1x = 12 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 12 + -5
-1x = 12 + -5

Combine like terms: 12 + -5 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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