2(x-7)=-x+13

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Solution for 2(x-7)=-x+13 equation:


Simplifying
2(x + -7) = -1x + 13

Reorder the terms:
2(-7 + x) = -1x + 13
(-7 * 2 + x * 2) = -1x + 13
(-14 + 2x) = -1x + 13

Reorder the terms:
-14 + 2x = 13 + -1x

Solving
-14 + 2x = 13 + -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.
-14 + 2x + x = 13 + -1x + x

Combine like terms: 2x + x = 3x
-14 + 3x = 13 + -1x + x

Combine like terms: -1x + x = 0
-14 + 3x = 13 + 0
-14 + 3x = 13

Add '14' to each side of the equation.
-14 + 14 + 3x = 13 + 14

Combine like terms: -14 + 14 = 0
0 + 3x = 13 + 14
3x = 13 + 14

Combine like terms: 13 + 14 = 27
3x = 27

Divide each side by '3'.
x = 9

Simplifying
x = 9

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