x+2x-5=x-4x-47

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Solution for x+2x-5=x-4x-47 equation:


Simplifying
x + 2x + -5 = x + -4x + -47

Reorder the terms:
-5 + x + 2x = x + -4x + -47

Combine like terms: x + 2x = 3x
-5 + 3x = x + -4x + -47

Reorder the terms:
-5 + 3x = -47 + x + -4x

Combine like terms: x + -4x = -3x
-5 + 3x = -47 + -3x

Solving
-5 + 3x = -47 + -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.
-5 + 3x + 3x = -47 + -3x + 3x

Combine like terms: 3x + 3x = 6x
-5 + 6x = -47 + -3x + 3x

Combine like terms: -3x + 3x = 0
-5 + 6x = -47 + 0
-5 + 6x = -47

Add '5' to each side of the equation.
-5 + 5 + 6x = -47 + 5

Combine like terms: -5 + 5 = 0
0 + 6x = -47 + 5
6x = -47 + 5

Combine like terms: -47 + 5 = -42
6x = -42

Divide each side by '6'.
x = -7

Simplifying
x = -7

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