-(x-6)-(x-4)=x-7

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Solution for -(x-6)-(x-4)=x-7 equation: 


Simplifying
-1(x + -6) + -1(x + -4) = x + -7

Reorder the terms:
-1(-6 + x) + -1(x + -4) = x + -7
(-6 * -1 + x * -1) + -1(x + -4) = x + -7
(6 + -1x) + -1(x + -4) = x + -7

Reorder the terms:
6 + -1x + -1(-4 + x) = x + -7
6 + -1x + (-4 * -1 + x * -1) = x + -7
6 + -1x + (4 + -1x) = x + -7

Reorder the terms:
6 + 4 + -1x + -1x = x + -7

Combine like terms: 6 + 4 = 10
10 + -1x + -1x = x + -7

Combine like terms: -1x + -1x = -2x
10 + -2x = x + -7

Reorder the terms:
10 + -2x = -7 + x

Solving
10 + -2x = -7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + -2x + -1x = -7 + x + -1x

Combine like terms: -2x + -1x = -3x
10 + -3x = -7 + x + -1x

Combine like terms: x + -1x = 0
10 + -3x = -7 + 0
10 + -3x = -7

Add '-10' to each side of the equation.
10 + -10 + -3x = -7 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -7 + -10
-3x = -7 + -10

Combine like terms: -7 + -10 = -17
-3x = -17

Divide each side by '-3'.
x = 5.666666667

Simplifying
x = 5.666666667

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