3(2a-5)-6=2a-1

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Solution for 3(2a-5)-6=2a-1 equation:


Simplifying
3(2a + -5) + -6 = 2a + -1

Reorder the terms:
3(-5 + 2a) + -6 = 2a + -1
(-5 * 3 + 2a * 3) + -6 = 2a + -1
(-15 + 6a) + -6 = 2a + -1

Reorder the terms:
-15 + -6 + 6a = 2a + -1

Combine like terms: -15 + -6 = -21
-21 + 6a = 2a + -1

Reorder the terms:
-21 + 6a = -1 + 2a

Solving
-21 + 6a = -1 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-21 + 6a + -2a = -1 + 2a + -2a

Combine like terms: 6a + -2a = 4a
-21 + 4a = -1 + 2a + -2a

Combine like terms: 2a + -2a = 0
-21 + 4a = -1 + 0
-21 + 4a = -1

Add '21' to each side of the equation.
-21 + 21 + 4a = -1 + 21

Combine like terms: -21 + 21 = 0
0 + 4a = -1 + 21
4a = -1 + 21

Combine like terms: -1 + 21 = 20
4a = 20

Divide each side by '4'.
a = 5

Simplifying
a = 5

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