14-47=3(x-5)-9

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Solution for 14-47=3(x-5)-9 equation:


Simplifying
14 + -47 = 3(x + -5) + -9

Combine like terms: 14 + -47 = -33
-33 = 3(x + -5) + -9

Reorder the terms:
-33 = 3(-5 + x) + -9
-33 = (-5 * 3 + x * 3) + -9
-33 = (-15 + 3x) + -9

Reorder the terms:
-33 = -15 + -9 + 3x

Combine like terms: -15 + -9 = -24
-33 = -24 + 3x

Solving
-33 = -24 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-33 + -3x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
-33 + -3x = -24 + 0
-33 + -3x = -24

Add '33' to each side of the equation.
-33 + 33 + -3x = -24 + 33

Combine like terms: -33 + 33 = 0
0 + -3x = -24 + 33
-3x = -24 + 33

Combine like terms: -24 + 33 = 9
-3x = 9

Divide each side by '-3'.
x = -3

Simplifying
x = -3

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