2(a-8)+7=5(a+2)-31-19

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Solution for 2(a-8)+7=5(a+2)-31-19 equation:


Simplifying
2(a + -8) + 7 = 5(a + 2) + -31 + -19

Reorder the terms:
2(-8 + a) + 7 = 5(a + 2) + -31 + -19
(-8 * 2 + a * 2) + 7 = 5(a + 2) + -31 + -19
(-16 + 2a) + 7 = 5(a + 2) + -31 + -19

Reorder the terms:
-16 + 7 + 2a = 5(a + 2) + -31 + -19

Combine like terms: -16 + 7 = -9
-9 + 2a = 5(a + 2) + -31 + -19

Reorder the terms:
-9 + 2a = 5(2 + a) + -31 + -19
-9 + 2a = (2 * 5 + a * 5) + -31 + -19
-9 + 2a = (10 + 5a) + -31 + -19

Reorder the terms:
-9 + 2a = 10 + -31 + -19 + 5a

Combine like terms: 10 + -31 = -21
-9 + 2a = -21 + -19 + 5a

Combine like terms: -21 + -19 = -40
-9 + 2a = -40 + 5a

Solving
-9 + 2a = -40 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-9 + 2a + -5a = -40 + 5a + -5a

Combine like terms: 2a + -5a = -3a
-9 + -3a = -40 + 5a + -5a

Combine like terms: 5a + -5a = 0
-9 + -3a = -40 + 0
-9 + -3a = -40

Add '9' to each side of the equation.
-9 + 9 + -3a = -40 + 9

Combine like terms: -9 + 9 = 0
0 + -3a = -40 + 9
-3a = -40 + 9

Combine like terms: -40 + 9 = -31
-3a = -31

Divide each side by '-3'.
a = 10.33333333

Simplifying
a = 10.33333333

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