2-(x+3)-5=13-4x

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Solution for 2-(x+3)-5=13-4x equation:


Simplifying
2 + -1(x + 3) + -5 = 13 + -4x

Reorder the terms:
2 + -1(3 + x) + -5 = 13 + -4x
2 + (3 * -1 + x * -1) + -5 = 13 + -4x
2 + (-3 + -1x) + -5 = 13 + -4x

Reorder the terms:
2 + -3 + -5 + -1x = 13 + -4x

Combine like terms: 2 + -3 = -1
-1 + -5 + -1x = 13 + -4x

Combine like terms: -1 + -5 = -6
-6 + -1x = 13 + -4x

Solving
-6 + -1x = 13 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-6 + -1x + 4x = 13 + -4x + 4x

Combine like terms: -1x + 4x = 3x
-6 + 3x = 13 + -4x + 4x

Combine like terms: -4x + 4x = 0
-6 + 3x = 13 + 0
-6 + 3x = 13

Add '6' to each side of the equation.
-6 + 6 + 3x = 13 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 13 + 6
3x = 13 + 6

Combine like terms: 13 + 6 = 19
3x = 19

Divide each side by '3'.
x = 6.333333333

Simplifying
x = 6.333333333

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