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

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


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

Reorder the terms:
2(-5 + a) = 3(2a + 1)
(-5 * 2 + a * 2) = 3(2a + 1)
(-10 + 2a) = 3(2a + 1)

Reorder the terms:
-10 + 2a = 3(1 + 2a)
-10 + 2a = (1 * 3 + 2a * 3)
-10 + 2a = (3 + 6a)

Solving
-10 + 2a = 3 + 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.
-10 + 2a + -6a = 3 + 6a + -6a

Combine like terms: 2a + -6a = -4a
-10 + -4a = 3 + 6a + -6a

Combine like terms: 6a + -6a = 0
-10 + -4a = 3 + 0
-10 + -4a = 3

Add '10' to each side of the equation.
-10 + 10 + -4a = 3 + 10

Combine like terms: -10 + 10 = 0
0 + -4a = 3 + 10
-4a = 3 + 10

Combine like terms: 3 + 10 = 13
-4a = 13

Divide each side by '-4'.
a = -3.25

Simplifying
a = -3.25

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