8+6(x-1)=10-3(x-1)

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Solution for 8+6(x-1)=10-3(x-1) equation: 


Simplifying
8 + 6(x + -1) = 10 + -3(x + -1)

Reorder the terms:
8 + 6(-1 + x) = 10 + -3(x + -1)
8 + (-1 * 6 + x * 6) = 10 + -3(x + -1)
8 + (-6 + 6x) = 10 + -3(x + -1)

Combine like terms: 8 + -6 = 2
2 + 6x = 10 + -3(x + -1)

Reorder the terms:
2 + 6x = 10 + -3(-1 + x)
2 + 6x = 10 + (-1 * -3 + x * -3)
2 + 6x = 10 + (3 + -3x)

Combine like terms: 10 + 3 = 13
2 + 6x = 13 + -3x

Solving
2 + 6x = 13 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
2 + 6x + 3x = 13 + -3x + 3x

Combine like terms: 6x + 3x = 9x
2 + 9x = 13 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 9x = 13 + 0
2 + 9x = 13

Add '-2' to each side of the equation.
2 + -2 + 9x = 13 + -2

Combine like terms: 2 + -2 = 0
0 + 9x = 13 + -2
9x = 13 + -2

Combine like terms: 13 + -2 = 11
9x = 11

Divide each side by '9'.
x = 1.222222222

Simplifying
x = 1.222222222

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