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

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


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

Reorder the terms:
3(4 + 3x) = 4 + -2(x + -4)
(4 * 3 + 3x * 3) = 4 + -2(x + -4)
(12 + 9x) = 4 + -2(x + -4)

Reorder the terms:
12 + 9x = 4 + -2(-4 + x)
12 + 9x = 4 + (-4 * -2 + x * -2)
12 + 9x = 4 + (8 + -2x)

Combine like terms: 4 + 8 = 12
12 + 9x = 12 + -2x

Add '-12' to each side of the equation.
12 + -12 + 9x = 12 + -12 + -2x

Combine like terms: 12 + -12 = 0
0 + 9x = 12 + -12 + -2x
9x = 12 + -12 + -2x

Combine like terms: 12 + -12 = 0
9x = 0 + -2x
9x = -2x

Solving
9x = -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.
9x + 2x = -2x + 2x

Combine like terms: 9x + 2x = 11x
11x = -2x + 2x

Combine like terms: -2x + 2x = 0
11x = 0

Divide each side by '11'.
x = 0

Simplifying
x = 0

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