2(x-3)=2+(x-10)

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


Simplifying
2(x + -3) = 2 + (x + -10)

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

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

Remove parenthesis around (-10 + x)
-6 + 2x = 2 + -10 + x

Combine like terms: 2 + -10 = -8
-6 + 2x = -8 + x

Solving
-6 + 2x = -8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 2x + -1x = -8 + x + -1x

Combine like terms: 2x + -1x = 1x
-6 + 1x = -8 + x + -1x

Combine like terms: x + -1x = 0
-6 + 1x = -8 + 0
-6 + 1x = -8

Add '6' to each side of the equation.
-6 + 6 + 1x = -8 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = -8 + 6
1x = -8 + 6

Combine like terms: -8 + 6 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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