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

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


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

Reorder the terms:
3(-1 + 2a) = 7 + 2(a + -5)
(-1 * 3 + 2a * 3) = 7 + 2(a + -5)
(-3 + 6a) = 7 + 2(a + -5)

Reorder the terms:
-3 + 6a = 7 + 2(-5 + a)
-3 + 6a = 7 + (-5 * 2 + a * 2)
-3 + 6a = 7 + (-10 + 2a)

Combine like terms: 7 + -10 = -3
-3 + 6a = -3 + 2a

Add '3' to each side of the equation.
-3 + 3 + 6a = -3 + 3 + 2a

Combine like terms: -3 + 3 = 0
0 + 6a = -3 + 3 + 2a
6a = -3 + 3 + 2a

Combine like terms: -3 + 3 = 0
6a = 0 + 2a
6a = 2a

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

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

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

Divide each side by '4'.
a = 0

Simplifying
a = 0

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