3(4x+7)=4x-27

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Solution for 3(4x+7)=4x-27 equation:


Simplifying
3(4x + 7) = 4x + -27

Reorder the terms:
3(7 + 4x) = 4x + -27
(7 * 3 + 4x * 3) = 4x + -27
(21 + 12x) = 4x + -27

Reorder the terms:
21 + 12x = -27 + 4x

Solving
21 + 12x = -27 + 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.
21 + 12x + -4x = -27 + 4x + -4x

Combine like terms: 12x + -4x = 8x
21 + 8x = -27 + 4x + -4x

Combine like terms: 4x + -4x = 0
21 + 8x = -27 + 0
21 + 8x = -27

Add '-21' to each side of the equation.
21 + -21 + 8x = -27 + -21

Combine like terms: 21 + -21 = 0
0 + 8x = -27 + -21
8x = -27 + -21

Combine like terms: -27 + -21 = -48
8x = -48

Divide each side by '8'.
x = -6

Simplifying
x = -6

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