8+6(x-1)=3-6(x-3)

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Solution for 8+6(x-1)=3-6(x-3) equation:


Simplifying
8 + 6(x + -1) = 3 + -6(x + -3)

Reorder the terms:
8 + 6(-1 + x) = 3 + -6(x + -3)
8 + (-1 * 6 + x * 6) = 3 + -6(x + -3)
8 + (-6 + 6x) = 3 + -6(x + -3)

Combine like terms: 8 + -6 = 2
2 + 6x = 3 + -6(x + -3)

Reorder the terms:
2 + 6x = 3 + -6(-3 + x)
2 + 6x = 3 + (-3 * -6 + x * -6)
2 + 6x = 3 + (18 + -6x)

Combine like terms: 3 + 18 = 21
2 + 6x = 21 + -6x

Solving
2 + 6x = 21 + -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 + 6x + 6x = 21 + -6x + 6x

Combine like terms: 6x + 6x = 12x
2 + 12x = 21 + -6x + 6x

Combine like terms: -6x + 6x = 0
2 + 12x = 21 + 0
2 + 12x = 21

Add '-2' to each side of the equation.
2 + -2 + 12x = 21 + -2

Combine like terms: 2 + -2 = 0
0 + 12x = 21 + -2
12x = 21 + -2

Combine like terms: 21 + -2 = 19
12x = 19

Divide each side by '12'.
x = 1.583333333

Simplifying
x = 1.583333333

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