2(a-8)+7=5(a+2)-a-19

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Solution for 2(a-8)+7=5(a+2)-a-19 equation:


Simplifying
2(a + -8) + 7 = 5(a + 2) + -1a + -19

Reorder the terms:
2(-8 + a) + 7 = 5(a + 2) + -1a + -19
(-8 * 2 + a * 2) + 7 = 5(a + 2) + -1a + -19
(-16 + 2a) + 7 = 5(a + 2) + -1a + -19

Reorder the terms:
-16 + 7 + 2a = 5(a + 2) + -1a + -19

Combine like terms: -16 + 7 = -9
-9 + 2a = 5(a + 2) + -1a + -19

Reorder the terms:
-9 + 2a = 5(2 + a) + -1a + -19
-9 + 2a = (2 * 5 + a * 5) + -1a + -19
-9 + 2a = (10 + 5a) + -1a + -19

Reorder the terms:
-9 + 2a = 10 + -19 + 5a + -1a

Combine like terms: 10 + -19 = -9
-9 + 2a = -9 + 5a + -1a

Combine like terms: 5a + -1a = 4a
-9 + 2a = -9 + 4a

Add '9' to each side of the equation.
-9 + 9 + 2a = -9 + 9 + 4a

Combine like terms: -9 + 9 = 0
0 + 2a = -9 + 9 + 4a
2a = -9 + 9 + 4a

Combine like terms: -9 + 9 = 0
2a = 0 + 4a
2a = 4a

Solving
2a = 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
2a + -4a = 4a + -4a

Combine like terms: 2a + -4a = -2a
-2a = 4a + -4a

Combine like terms: 4a + -4a = 0
-2a = 0

Divide each side by '-2'.
a = 0

Simplifying
a = 0

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