5x-(2x+2)=6x-41

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Solution for 5x-(2x+2)=6x-41 equation:


Simplifying
5x + -1(2x + 2) = 6x + -41

Reorder the terms:
5x + -1(2 + 2x) = 6x + -41
5x + (2 * -1 + 2x * -1) = 6x + -41
5x + (-2 + -2x) = 6x + -41

Reorder the terms:
-2 + 5x + -2x = 6x + -41

Combine like terms: 5x + -2x = 3x
-2 + 3x = 6x + -41

Reorder the terms:
-2 + 3x = -41 + 6x

Solving
-2 + 3x = -41 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-2 + 3x + -6x = -41 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-2 + -3x = -41 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + -3x = -41 + 0
-2 + -3x = -41

Add '2' to each side of the equation.
-2 + 2 + -3x = -41 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = -41 + 2
-3x = -41 + 2

Combine like terms: -41 + 2 = -39
-3x = -39

Divide each side by '-3'.
x = 13

Simplifying
x = 13

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