21-47=3(x-3)-5

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Solution for 21-47=3(x-3)-5 equation:


Simplifying
21 + -47 = 3(x + -3) + -5

Combine like terms: 21 + -47 = -26
-26 = 3(x + -3) + -5

Reorder the terms:
-26 = 3(-3 + x) + -5
-26 = (-3 * 3 + x * 3) + -5
-26 = (-9 + 3x) + -5

Reorder the terms:
-26 = -9 + -5 + 3x

Combine like terms: -9 + -5 = -14
-26 = -14 + 3x

Solving
-26 = -14 + 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.
-26 + -3x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-26 + -3x = -14 + 0
-26 + -3x = -14

Add '26' to each side of the equation.
-26 + 26 + -3x = -14 + 26

Combine like terms: -26 + 26 = 0
0 + -3x = -14 + 26
-3x = -14 + 26

Combine like terms: -14 + 26 = 12
-3x = 12

Divide each side by '-3'.
x = -4

Simplifying
x = -4

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