3a-1=5(a-1)-2(7-2a)

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Solution for 3a-1=5(a-1)-2(7-2a) equation:


Simplifying
3a + -1 = 5(a + -1) + -2(7 + -2a)

Reorder the terms:
-1 + 3a = 5(a + -1) + -2(7 + -2a)

Reorder the terms:
-1 + 3a = 5(-1 + a) + -2(7 + -2a)
-1 + 3a = (-1 * 5 + a * 5) + -2(7 + -2a)
-1 + 3a = (-5 + 5a) + -2(7 + -2a)
-1 + 3a = -5 + 5a + (7 * -2 + -2a * -2)
-1 + 3a = -5 + 5a + (-14 + 4a)

Reorder the terms:
-1 + 3a = -5 + -14 + 5a + 4a

Combine like terms: -5 + -14 = -19
-1 + 3a = -19 + 5a + 4a

Combine like terms: 5a + 4a = 9a
-1 + 3a = -19 + 9a

Solving
-1 + 3a = -19 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
-1 + 3a + -9a = -19 + 9a + -9a

Combine like terms: 3a + -9a = -6a
-1 + -6a = -19 + 9a + -9a

Combine like terms: 9a + -9a = 0
-1 + -6a = -19 + 0
-1 + -6a = -19

Add '1' to each side of the equation.
-1 + 1 + -6a = -19 + 1

Combine like terms: -1 + 1 = 0
0 + -6a = -19 + 1
-6a = -19 + 1

Combine like terms: -19 + 1 = -18
-6a = -18

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

Simplifying
a = 3

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