2(a-7)=10-a

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Solution for 2(a-7)=10-a equation:


Simplifying
2(a + -7) = 10 + -1a

Reorder the terms:
2(-7 + a) = 10 + -1a
(-7 * 2 + a * 2) = 10 + -1a
(-14 + 2a) = 10 + -1a

Solving
-14 + 2a = 10 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
-14 + 2a + a = 10 + -1a + a

Combine like terms: 2a + a = 3a
-14 + 3a = 10 + -1a + a

Combine like terms: -1a + a = 0
-14 + 3a = 10 + 0
-14 + 3a = 10

Add '14' to each side of the equation.
-14 + 14 + 3a = 10 + 14

Combine like terms: -14 + 14 = 0
0 + 3a = 10 + 14
3a = 10 + 14

Combine like terms: 10 + 14 = 24
3a = 24

Divide each side by '3'.
a = 8

Simplifying
a = 8

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