(2-x)-(7-3x)=5+6

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Solution for (2-x)-(7-3x)=5+6 equation:


Simplifying
(2 + -1x) + -1(7 + -3x) = 5 + 6

Remove parenthesis around (2 + -1x)
2 + -1x + -1(7 + -3x) = 5 + 6
2 + -1x + (7 * -1 + -3x * -1) = 5 + 6
2 + -1x + (-7 + 3x) = 5 + 6

Reorder the terms:
2 + -7 + -1x + 3x = 5 + 6

Combine like terms: 2 + -7 = -5
-5 + -1x + 3x = 5 + 6

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

Combine like terms: 5 + 6 = 11
-5 + 2x = 11

Solving
-5 + 2x = 11

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 2x = 11 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 11 + 5
2x = 11 + 5

Combine like terms: 11 + 5 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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