2(x-3)=(x-2)+7

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Solution for 2(x-3)=(x-2)+7 equation:


Simplifying
2(x + -3) = (x + -2) + 7

Reorder the terms:
2(-3 + x) = (x + -2) + 7
(-3 * 2 + x * 2) = (x + -2) + 7
(-6 + 2x) = (x + -2) + 7

Reorder the terms:
-6 + 2x = (-2 + x) + 7

Remove parenthesis around (-2 + x)
-6 + 2x = -2 + x + 7

Reorder the terms:
-6 + 2x = -2 + 7 + x

Combine like terms: -2 + 7 = 5
-6 + 2x = 5 + x

Solving
-6 + 2x = 5 + 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 = 5 + x + -1x

Combine like terms: 2x + -1x = 1x
-6 + 1x = 5 + x + -1x

Combine like terms: x + -1x = 0
-6 + 1x = 5 + 0
-6 + 1x = 5

Add '6' to each side of the equation.
-6 + 6 + 1x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 5 + 6
1x = 5 + 6

Combine like terms: 5 + 6 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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