5(a-2)-2(a+3)=6a-11

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Solution for 5(a-2)-2(a+3)=6a-11 equation: 


Simplifying
5(a + -2) + -2(a + 3) = 6a + -11

Reorder the terms:
5(-2 + a) + -2(a + 3) = 6a + -11
(-2 * 5 + a * 5) + -2(a + 3) = 6a + -11
(-10 + 5a) + -2(a + 3) = 6a + -11

Reorder the terms:
-10 + 5a + -2(3 + a) = 6a + -11
-10 + 5a + (3 * -2 + a * -2) = 6a + -11
-10 + 5a + (-6 + -2a) = 6a + -11

Reorder the terms:
-10 + -6 + 5a + -2a = 6a + -11

Combine like terms: -10 + -6 = -16
-16 + 5a + -2a = 6a + -11

Combine like terms: 5a + -2a = 3a
-16 + 3a = 6a + -11

Reorder the terms:
-16 + 3a = -11 + 6a

Solving
-16 + 3a = -11 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-16 + 3a + -6a = -11 + 6a + -6a

Combine like terms: 3a + -6a = -3a
-16 + -3a = -11 + 6a + -6a

Combine like terms: 6a + -6a = 0
-16 + -3a = -11 + 0
-16 + -3a = -11

Add '16' to each side of the equation.
-16 + 16 + -3a = -11 + 16

Combine like terms: -16 + 16 = 0
0 + -3a = -11 + 16
-3a = -11 + 16

Combine like terms: -11 + 16 = 5
-3a = 5

Divide each side by '-3'.
a = -1.666666667

Simplifying
a = -1.666666667

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