7x-2=6(x-6)-10

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Solution for 7x-2=6(x-6)-10 equation:


Simplifying
7x + -2 = 6(x + -6) + -10

Reorder the terms:
-2 + 7x = 6(x + -6) + -10

Reorder the terms:
-2 + 7x = 6(-6 + x) + -10
-2 + 7x = (-6 * 6 + x * 6) + -10
-2 + 7x = (-36 + 6x) + -10

Reorder the terms:
-2 + 7x = -36 + -10 + 6x

Combine like terms: -36 + -10 = -46
-2 + 7x = -46 + 6x

Solving
-2 + 7x = -46 + 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.
-2 + 7x + -6x = -46 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-2 + 1x = -46 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + 1x = -46 + 0
-2 + 1x = -46

Add '2' to each side of the equation.
-2 + 2 + 1x = -46 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = -46 + 2
1x = -46 + 2

Combine like terms: -46 + 2 = -44
1x = -44

Divide each side by '1'.
x = -44

Simplifying
x = -44

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