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

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


Simplifying
6x + -23 + -1(x + -5) = 3x + 2

Reorder the terms:
6x + -23 + -1(-5 + x) = 3x + 2
6x + -23 + (-5 * -1 + x * -1) = 3x + 2
6x + -23 + (5 + -1x) = 3x + 2

Reorder the terms:
-23 + 5 + 6x + -1x = 3x + 2

Combine like terms: -23 + 5 = -18
-18 + 6x + -1x = 3x + 2

Combine like terms: 6x + -1x = 5x
-18 + 5x = 3x + 2

Reorder the terms:
-18 + 5x = 2 + 3x

Solving
-18 + 5x = 2 + 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.
-18 + 5x + -3x = 2 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-18 + 2x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-18 + 2x = 2 + 0
-18 + 2x = 2

Add '18' to each side of the equation.
-18 + 18 + 2x = 2 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = 2 + 18
2x = 2 + 18

Combine like terms: 2 + 18 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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