3(a-5)-3(2a+1)=8(a+2)+3

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Solution for 3(a-5)-3(2a+1)=8(a+2)+3 equation:


Simplifying
3(a + -5) + -3(2a + 1) = 8(a + 2) + 3

Reorder the terms:
3(-5 + a) + -3(2a + 1) = 8(a + 2) + 3
(-5 * 3 + a * 3) + -3(2a + 1) = 8(a + 2) + 3
(-15 + 3a) + -3(2a + 1) = 8(a + 2) + 3

Reorder the terms:
-15 + 3a + -3(1 + 2a) = 8(a + 2) + 3
-15 + 3a + (1 * -3 + 2a * -3) = 8(a + 2) + 3
-15 + 3a + (-3 + -6a) = 8(a + 2) + 3

Reorder the terms:
-15 + -3 + 3a + -6a = 8(a + 2) + 3

Combine like terms: -15 + -3 = -18
-18 + 3a + -6a = 8(a + 2) + 3

Combine like terms: 3a + -6a = -3a
-18 + -3a = 8(a + 2) + 3

Reorder the terms:
-18 + -3a = 8(2 + a) + 3
-18 + -3a = (2 * 8 + a * 8) + 3
-18 + -3a = (16 + 8a) + 3

Reorder the terms:
-18 + -3a = 16 + 3 + 8a

Combine like terms: 16 + 3 = 19
-18 + -3a = 19 + 8a

Solving
-18 + -3a = 19 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
-18 + -3a + -8a = 19 + 8a + -8a

Combine like terms: -3a + -8a = -11a
-18 + -11a = 19 + 8a + -8a

Combine like terms: 8a + -8a = 0
-18 + -11a = 19 + 0
-18 + -11a = 19

Add '18' to each side of the equation.
-18 + 18 + -11a = 19 + 18

Combine like terms: -18 + 18 = 0
0 + -11a = 19 + 18
-11a = 19 + 18

Combine like terms: 19 + 18 = 37
-11a = 37

Divide each side by '-11'.
a = -3.363636364

Simplifying
a = -3.363636364

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