2(a-8)+7=5(a+2)-3a-10

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Solution for 2(a-8)+7=5(a+2)-3a-10 equation: 


Simplifying
2(a + -8) + 7 = 5(a + 2) + -3a + -10

Reorder the terms:
2(-8 + a) + 7 = 5(a + 2) + -3a + -10
(-8 * 2 + a * 2) + 7 = 5(a + 2) + -3a + -10
(-16 + 2a) + 7 = 5(a + 2) + -3a + -10

Reorder the terms:
-16 + 7 + 2a = 5(a + 2) + -3a + -10

Combine like terms: -16 + 7 = -9
-9 + 2a = 5(a + 2) + -3a + -10

Reorder the terms:
-9 + 2a = 5(2 + a) + -3a + -10
-9 + 2a = (2 * 5 + a * 5) + -3a + -10
-9 + 2a = (10 + 5a) + -3a + -10

Reorder the terms:
-9 + 2a = 10 + -10 + 5a + -3a

Combine like terms: 10 + -10 = 0
-9 + 2a = 0 + 5a + -3a
-9 + 2a = 5a + -3a

Combine like terms: 5a + -3a = 2a
-9 + 2a = 2a

Add '-2a' to each side of the equation.
-9 + 2a + -2a = 2a + -2a

Combine like terms: 2a + -2a = 0
-9 + 0 = 2a + -2a
-9 = 2a + -2a

Combine like terms: 2a + -2a = 0
-9 = 0

Solving
-9 = 0

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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