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

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


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

Reorder the terms:
7(-7 + x) = -6(x + -6)
(-7 * 7 + x * 7) = -6(x + -6)
(-49 + 7x) = -6(x + -6)

Reorder the terms:
-49 + 7x = -6(-6 + x)
-49 + 7x = (-6 * -6 + x * -6)
-49 + 7x = (36 + -6x)

Solving
-49 + 7x = 36 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-49 + 7x + 6x = 36 + -6x + 6x

Combine like terms: 7x + 6x = 13x
-49 + 13x = 36 + -6x + 6x

Combine like terms: -6x + 6x = 0
-49 + 13x = 36 + 0
-49 + 13x = 36

Add '49' to each side of the equation.
-49 + 49 + 13x = 36 + 49

Combine like terms: -49 + 49 = 0
0 + 13x = 36 + 49
13x = 36 + 49

Combine like terms: 36 + 49 = 85
13x = 85

Divide each side by '13'.
x = 6.538461538

Simplifying
x = 6.538461538

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