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

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


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

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

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

Combine like terms: -42 + 6 = -36
-36 + 7x = 7x + -6(6 + -1x)
-36 + 7x = 7x + (6 * -6 + -1x * -6)
-36 + 7x = 7x + (-36 + 6x)

Reorder the terms:
-36 + 7x = -36 + 7x + 6x

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

Add '36' to each side of the equation.
-36 + 36 + 7x = -36 + 36 + 13x

Combine like terms: -36 + 36 = 0
0 + 7x = -36 + 36 + 13x
7x = -36 + 36 + 13x

Combine like terms: -36 + 36 = 0
7x = 0 + 13x
7x = 13x

Solving
7x = 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
7x + -13x = 13x + -13x

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

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

Divide each side by '-6'.
x = 0

Simplifying
x = 0

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