4(x-4)-3(x+2)-14=-27

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Solution for 4(x-4)-3(x+2)-14=-27 equation:


Simplifying
4(x + -4) + -3(x + 2) + -14 = -27

Reorder the terms:
4(-4 + x) + -3(x + 2) + -14 = -27
(-4 * 4 + x * 4) + -3(x + 2) + -14 = -27
(-16 + 4x) + -3(x + 2) + -14 = -27

Reorder the terms:
-16 + 4x + -3(2 + x) + -14 = -27
-16 + 4x + (2 * -3 + x * -3) + -14 = -27
-16 + 4x + (-6 + -3x) + -14 = -27

Reorder the terms:
-16 + -6 + -14 + 4x + -3x = -27

Combine like terms: -16 + -6 = -22
-22 + -14 + 4x + -3x = -27

Combine like terms: -22 + -14 = -36
-36 + 4x + -3x = -27

Combine like terms: 4x + -3x = 1x
-36 + 1x = -27

Solving
-36 + 1x = -27

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 1x = -27 + 36

Combine like terms: -36 + 36 = 0
0 + 1x = -27 + 36
1x = -27 + 36

Combine like terms: -27 + 36 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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