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

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


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

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

Combine like terms: -5 + -6 = -11
-11 + x + 1x = 3x + -7

Combine like terms: x + 1x = 2x
-11 + 2x = 3x + -7

Reorder the terms:
-11 + 2x = -7 + 3x

Solving
-11 + 2x = -7 + 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.
-11 + 2x + -3x = -7 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-11 + -1x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-11 + -1x = -7 + 0
-11 + -1x = -7

Add '11' to each side of the equation.
-11 + 11 + -1x = -7 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = -7 + 11
-1x = -7 + 11

Combine like terms: -7 + 11 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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