3x+2+(x-5)=6x-23

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Solution for 3x+2+(x-5)=6x-23 equation:


Simplifying
3x + 2 + (x + -5) = 6x + -23

Reorder the terms:
3x + 2 + (-5 + x) = 6x + -23

Remove parenthesis around (-5 + x)
3x + 2 + -5 + x = 6x + -23

Reorder the terms:
2 + -5 + 3x + x = 6x + -23

Combine like terms: 2 + -5 = -3
-3 + 3x + x = 6x + -23

Combine like terms: 3x + x = 4x
-3 + 4x = 6x + -23

Reorder the terms:
-3 + 4x = -23 + 6x

Solving
-3 + 4x = -23 + 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.
-3 + 4x + -6x = -23 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-3 + -2x = -23 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + -2x = -23 + 0
-3 + -2x = -23

Add '3' to each side of the equation.
-3 + 3 + -2x = -23 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = -23 + 3
-2x = -23 + 3

Combine like terms: -23 + 3 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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