5(2a-3)-3(2a+1)=0

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Solution for 5(2a-3)-3(2a+1)=0 equation:


Simplifying
5(2a + -3) + -3(2a + 1) = 0

Reorder the terms:
5(-3 + 2a) + -3(2a + 1) = 0
(-3 * 5 + 2a * 5) + -3(2a + 1) = 0
(-15 + 10a) + -3(2a + 1) = 0

Reorder the terms:
-15 + 10a + -3(1 + 2a) = 0
-15 + 10a + (1 * -3 + 2a * -3) = 0
-15 + 10a + (-3 + -6a) = 0

Reorder the terms:
-15 + -3 + 10a + -6a = 0

Combine like terms: -15 + -3 = -18
-18 + 10a + -6a = 0

Combine like terms: 10a + -6a = 4a
-18 + 4a = 0

Solving
-18 + 4a = 0

Solving for variable 'a'.

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

Add '18' to each side of the equation.
-18 + 18 + 4a = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 4a = 0 + 18
4a = 0 + 18

Combine like terms: 0 + 18 = 18
4a = 18

Divide each side by '4'.
a = 4.5

Simplifying
a = 4.5

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