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

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


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

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

Remove parenthesis around (5 + x)
5 + x + -1(2x + -3) = 6

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

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

Combine like terms: 5 + 3 = 8
8 + x + -2x = 6

Combine like terms: x + -2x = -1x
8 + -1x = 6

Solving
8 + -1x = 6

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 6 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 6 + -8
-1x = 6 + -8

Combine like terms: 6 + -8 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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