2+(6x-5)=10-(3x-8)

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Solution for 2+(6x-5)=10-(3x-8) equation:


Simplifying
2 + (6x + -5) = 10 + -1(3x + -8)

Reorder the terms:
2 + (-5 + 6x) = 10 + -1(3x + -8)

Remove parenthesis around (-5 + 6x)
2 + -5 + 6x = 10 + -1(3x + -8)

Combine like terms: 2 + -5 = -3
-3 + 6x = 10 + -1(3x + -8)

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

Combine like terms: 10 + 8 = 18
-3 + 6x = 18 + -3x

Solving
-3 + 6x = 18 + -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.
-3 + 6x + 3x = 18 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-3 + 9x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
-3 + 9x = 18 + 0
-3 + 9x = 18

Add '3' to each side of the equation.
-3 + 3 + 9x = 18 + 3

Combine like terms: -3 + 3 = 0
0 + 9x = 18 + 3
9x = 18 + 3

Combine like terms: 18 + 3 = 21
9x = 21

Divide each side by '9'.
x = 2.333333333

Simplifying
x = 2.333333333

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