5x-(4x+5)=3x-47

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Solution for 5x-(4x+5)=3x-47 equation:


Simplifying
5x + -1(4x + 5) = 3x + -47

Reorder the terms:
5x + -1(5 + 4x) = 3x + -47
5x + (5 * -1 + 4x * -1) = 3x + -47
5x + (-5 + -4x) = 3x + -47

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

Combine like terms: 5x + -4x = 1x
-5 + 1x = 3x + -47

Reorder the terms:
-5 + 1x = -47 + 3x

Solving
-5 + 1x = -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 + 1x + -3x = -47 + 3x + -3x

Combine like terms: 1x + -3x = -2x
-5 + -2x = -47 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + -2x = -47 + 0
-5 + -2x = -47

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

Combine like terms: -5 + 5 = 0
0 + -2x = -47 + 5
-2x = -47 + 5

Combine like terms: -47 + 5 = -42
-2x = -42

Divide each side by '-2'.
x = 21

Simplifying
x = 21

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