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

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


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

Reorder the terms:
6(-7 + x) + -7(x + -6) = x + 6 + -1(-1x + -5)
(-7 * 6 + x * 6) + -7(x + -6) = x + 6 + -1(-1x + -5)
(-42 + 6x) + -7(x + -6) = x + 6 + -1(-1x + -5)

Reorder the terms:
-42 + 6x + -7(-6 + x) = x + 6 + -1(-1x + -5)
-42 + 6x + (-6 * -7 + x * -7) = x + 6 + -1(-1x + -5)
-42 + 6x + (42 + -7x) = x + 6 + -1(-1x + -5)

Reorder the terms:
-42 + 42 + 6x + -7x = x + 6 + -1(-1x + -5)

Combine like terms: -42 + 42 = 0
0 + 6x + -7x = x + 6 + -1(-1x + -5)
6x + -7x = x + 6 + -1(-1x + -5)

Combine like terms: 6x + -7x = -1x
-1x = x + 6 + -1(-1x + -5)

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

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

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

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

Solving
-1x = 11 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-1x + -2x = 11 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-3x = 11 + 0
-3x = 11

Divide each side by '-3'.
x = -3.666666667

Simplifying
x = -3.666666667

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