5a-6=4(2a+3)

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Solution for 5a-6=4(2a+3) equation:


Simplifying
5a + -6 = 4(2a + 3)

Reorder the terms:
-6 + 5a = 4(2a + 3)

Reorder the terms:
-6 + 5a = 4(3 + 2a)
-6 + 5a = (3 * 4 + 2a * 4)
-6 + 5a = (12 + 8a)

Solving
-6 + 5a = 12 + 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.
-6 + 5a + -8a = 12 + 8a + -8a

Combine like terms: 5a + -8a = -3a
-6 + -3a = 12 + 8a + -8a

Combine like terms: 8a + -8a = 0
-6 + -3a = 12 + 0
-6 + -3a = 12

Add '6' to each side of the equation.
-6 + 6 + -3a = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -3a = 12 + 6
-3a = 12 + 6

Combine like terms: 12 + 6 = 18
-3a = 18

Divide each side by '-3'.
a = -6

Simplifying
a = -6

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