12+3(x-4)-27=7[5-4(4-x)]

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Solution for 12+3(x-4)-27=7[5-4(4-x)] equation:


Simplifying
12 + 3(x + -4) + -27 = 7[5 + -4(4 + -1x)]

Reorder the terms:
12 + 3(-4 + x) + -27 = 7[5 + -4(4 + -1x)]
12 + (-4 * 3 + x * 3) + -27 = 7[5 + -4(4 + -1x)]
12 + (-12 + 3x) + -27 = 7[5 + -4(4 + -1x)]

Reorder the terms:
12 + -12 + -27 + 3x = 7[5 + -4(4 + -1x)]

Combine like terms: 12 + -12 = 0
0 + -27 + 3x = 7[5 + -4(4 + -1x)]
-27 + 3x = 7[5 + -4(4 + -1x)]
-27 + 3x = 7[5 + (4 * -4 + -1x * -4)]
-27 + 3x = 7[5 + (-16 + 4x)]

Combine like terms: 5 + -16 = -11
-27 + 3x = 7[-11 + 4x]
-27 + 3x = [-11 * 7 + 4x * 7]
-27 + 3x = [-77 + 28x]

Solving
-27 + 3x = -77 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
-27 + 3x + -28x = -77 + 28x + -28x

Combine like terms: 3x + -28x = -25x
-27 + -25x = -77 + 28x + -28x

Combine like terms: 28x + -28x = 0
-27 + -25x = -77 + 0
-27 + -25x = -77

Add '27' to each side of the equation.
-27 + 27 + -25x = -77 + 27

Combine like terms: -27 + 27 = 0
0 + -25x = -77 + 27
-25x = -77 + 27

Combine like terms: -77 + 27 = -50
-25x = -50

Divide each side by '-25'.
x = 2

Simplifying
x = 2

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