2(x-3)-5=-x+7

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Solution for 2(x-3)-5=-x+7 equation:


Simplifying
2(x + -3) + -5 = -1x + 7

Reorder the terms:
2(-3 + x) + -5 = -1x + 7
(-3 * 2 + x * 2) + -5 = -1x + 7
(-6 + 2x) + -5 = -1x + 7

Reorder the terms:
-6 + -5 + 2x = -1x + 7

Combine like terms: -6 + -5 = -11
-11 + 2x = -1x + 7

Reorder the terms:
-11 + 2x = 7 + -1x

Solving
-11 + 2x = 7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-11 + 2x + x = 7 + -1x + x

Combine like terms: 2x + x = 3x
-11 + 3x = 7 + -1x + x

Combine like terms: -1x + x = 0
-11 + 3x = 7 + 0
-11 + 3x = 7

Add '11' to each side of the equation.
-11 + 11 + 3x = 7 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = 7 + 11
3x = 7 + 11

Combine like terms: 7 + 11 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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