2+6(x-1)=6-5(x-9)

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Solution for 2+6(x-1)=6-5(x-9) equation:


Simplifying
2 + 6(x + -1) = 6 + -5(x + -9)

Reorder the terms:
2 + 6(-1 + x) = 6 + -5(x + -9)
2 + (-1 * 6 + x * 6) = 6 + -5(x + -9)
2 + (-6 + 6x) = 6 + -5(x + -9)

Combine like terms: 2 + -6 = -4
-4 + 6x = 6 + -5(x + -9)

Reorder the terms:
-4 + 6x = 6 + -5(-9 + x)
-4 + 6x = 6 + (-9 * -5 + x * -5)
-4 + 6x = 6 + (45 + -5x)

Combine like terms: 6 + 45 = 51
-4 + 6x = 51 + -5x

Solving
-4 + 6x = 51 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-4 + 6x + 5x = 51 + -5x + 5x

Combine like terms: 6x + 5x = 11x
-4 + 11x = 51 + -5x + 5x

Combine like terms: -5x + 5x = 0
-4 + 11x = 51 + 0
-4 + 11x = 51

Add '4' to each side of the equation.
-4 + 4 + 11x = 51 + 4

Combine like terms: -4 + 4 = 0
0 + 11x = 51 + 4
11x = 51 + 4

Combine like terms: 51 + 4 = 55
11x = 55

Divide each side by '11'.
x = 5

Simplifying
x = 5

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