3(4x+4)-9=7x-2

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Solution for 3(4x+4)-9=7x-2 equation:


Simplifying
3(4x + 4) + -9 = 7x + -2

Reorder the terms:
3(4 + 4x) + -9 = 7x + -2
(4 * 3 + 4x * 3) + -9 = 7x + -2
(12 + 12x) + -9 = 7x + -2

Reorder the terms:
12 + -9 + 12x = 7x + -2

Combine like terms: 12 + -9 = 3
3 + 12x = 7x + -2

Reorder the terms:
3 + 12x = -2 + 7x

Solving
3 + 12x = -2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
3 + 12x + -7x = -2 + 7x + -7x

Combine like terms: 12x + -7x = 5x
3 + 5x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + 5x = -2 + 0
3 + 5x = -2

Add '-3' to each side of the equation.
3 + -3 + 5x = -2 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = -2 + -3
5x = -2 + -3

Combine like terms: -2 + -3 = -5
5x = -5

Divide each side by '5'.
x = -1

Simplifying
x = -1

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