3(x-2)-(5-x)=-27

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Solution for 3(x-2)-(5-x)=-27 equation:


Simplifying
3(x + -2) + -1(5 + -1x) = -27

Reorder the terms:
3(-2 + x) + -1(5 + -1x) = -27
(-2 * 3 + x * 3) + -1(5 + -1x) = -27
(-6 + 3x) + -1(5 + -1x) = -27
-6 + 3x + (5 * -1 + -1x * -1) = -27
-6 + 3x + (-5 + 1x) = -27

Reorder the terms:
-6 + -5 + 3x + 1x = -27

Combine like terms: -6 + -5 = -11
-11 + 3x + 1x = -27

Combine like terms: 3x + 1x = 4x
-11 + 4x = -27

Solving
-11 + 4x = -27

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 4x = -27 + 11

Combine like terms: -11 + 11 = 0
0 + 4x = -27 + 11
4x = -27 + 11

Combine like terms: -27 + 11 = -16
4x = -16

Divide each side by '4'.
x = -4

Simplifying
x = -4

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