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

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


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

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

Combine like terms: 3a + -1a = 2a
3 + 2a = 5(2a + -1)

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

Solving
3 + 2a = -5 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
3 + 2a + -10a = -5 + 10a + -10a

Combine like terms: 2a + -10a = -8a
3 + -8a = -5 + 10a + -10a

Combine like terms: 10a + -10a = 0
3 + -8a = -5 + 0
3 + -8a = -5

Add '-3' to each side of the equation.
3 + -3 + -8a = -5 + -3

Combine like terms: 3 + -3 = 0
0 + -8a = -5 + -3
-8a = -5 + -3

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

Divide each side by '-8'.
a = 1

Simplifying
a = 1

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