2(2a-8)+7=5(a+2)-3a-19

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Solution for 2(2a-8)+7=5(a+2)-3a-19 equation:


Simplifying
2(2a + -8) + 7 = 5(a + 2) + -3a + -19

Reorder the terms:
2(-8 + 2a) + 7 = 5(a + 2) + -3a + -19
(-8 * 2 + 2a * 2) + 7 = 5(a + 2) + -3a + -19
(-16 + 4a) + 7 = 5(a + 2) + -3a + -19

Reorder the terms:
-16 + 7 + 4a = 5(a + 2) + -3a + -19

Combine like terms: -16 + 7 = -9
-9 + 4a = 5(a + 2) + -3a + -19

Reorder the terms:
-9 + 4a = 5(2 + a) + -3a + -19
-9 + 4a = (2 * 5 + a * 5) + -3a + -19
-9 + 4a = (10 + 5a) + -3a + -19

Reorder the terms:
-9 + 4a = 10 + -19 + 5a + -3a

Combine like terms: 10 + -19 = -9
-9 + 4a = -9 + 5a + -3a

Combine like terms: 5a + -3a = 2a
-9 + 4a = -9 + 2a

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

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

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

Solving
4a = 2a

Solving for variable 'a'.

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

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

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

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

Divide each side by '2'.
a = 0

Simplifying
a = 0

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