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

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


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

Reorder the terms:
-1(-6 + x) + -1(x + -7) = -3
(-6 * -1 + x * -1) + -1(x + -7) = -3
(6 + -1x) + -1(x + -7) = -3

Reorder the terms:
6 + -1x + -1(-7 + x) = -3
6 + -1x + (-7 * -1 + x * -1) = -3
6 + -1x + (7 + -1x) = -3

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

Combine like terms: 6 + 7 = 13
13 + -1x + -1x = -3

Combine like terms: -1x + -1x = -2x
13 + -2x = -3

Solving
13 + -2x = -3

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + -2x = -3 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = -3 + -13
-2x = -3 + -13

Combine like terms: -3 + -13 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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