-2(x+6)+3(x-5)=-47

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Solution for -2(x+6)+3(x-5)=-47 equation:


Simplifying
-2(x + 6) + 3(x + -5) = -47

Reorder the terms:
-2(6 + x) + 3(x + -5) = -47
(6 * -2 + x * -2) + 3(x + -5) = -47
(-12 + -2x) + 3(x + -5) = -47

Reorder the terms:
-12 + -2x + 3(-5 + x) = -47
-12 + -2x + (-5 * 3 + x * 3) = -47
-12 + -2x + (-15 + 3x) = -47

Reorder the terms:
-12 + -15 + -2x + 3x = -47

Combine like terms: -12 + -15 = -27
-27 + -2x + 3x = -47

Combine like terms: -2x + 3x = 1x
-27 + 1x = -47

Solving
-27 + 1x = -47

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + 1x = -47 + 27

Combine like terms: -27 + 27 = 0
0 + 1x = -47 + 27
1x = -47 + 27

Combine like terms: -47 + 27 = -20
1x = -20

Divide each side by '1'.
x = -20

Simplifying
x = -20

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