5x-(9x+5)=2x-47

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Solution for 5x-(9x+5)=2x-47 equation:


Simplifying
5x + -1(9x + 5) = 2x + -47

Reorder the terms:
5x + -1(5 + 9x) = 2x + -47
5x + (5 * -1 + 9x * -1) = 2x + -47
5x + (-5 + -9x) = 2x + -47

Reorder the terms:
-5 + 5x + -9x = 2x + -47

Combine like terms: 5x + -9x = -4x
-5 + -4x = 2x + -47

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

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

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-5 + -4x + -2x = -47 + 2x + -2x

Combine like terms: -4x + -2x = -6x
-5 + -6x = -47 + 2x + -2x

Combine like terms: 2x + -2x = 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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