8(a+2)+3=2(a-4)-11

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Solution for 8(a+2)+3=2(a-4)-11 equation:


Simplifying
8(a + 2) + 3 = 2(a + -4) + -11

Reorder the terms:
8(2 + a) + 3 = 2(a + -4) + -11
(2 * 8 + a * 8) + 3 = 2(a + -4) + -11
(16 + 8a) + 3 = 2(a + -4) + -11

Reorder the terms:
16 + 3 + 8a = 2(a + -4) + -11

Combine like terms: 16 + 3 = 19
19 + 8a = 2(a + -4) + -11

Reorder the terms:
19 + 8a = 2(-4 + a) + -11
19 + 8a = (-4 * 2 + a * 2) + -11
19 + 8a = (-8 + 2a) + -11

Reorder the terms:
19 + 8a = -8 + -11 + 2a

Combine like terms: -8 + -11 = -19
19 + 8a = -19 + 2a

Solving
19 + 8a = -19 + 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.
19 + 8a + -2a = -19 + 2a + -2a

Combine like terms: 8a + -2a = 6a
19 + 6a = -19 + 2a + -2a

Combine like terms: 2a + -2a = 0
19 + 6a = -19 + 0
19 + 6a = -19

Add '-19' to each side of the equation.
19 + -19 + 6a = -19 + -19

Combine like terms: 19 + -19 = 0
0 + 6a = -19 + -19
6a = -19 + -19

Combine like terms: -19 + -19 = -38
6a = -38

Divide each side by '6'.
a = -6.333333333

Simplifying
a = -6.333333333

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