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

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


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

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

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

Combine like terms: 3a + 2a = 5a
-2 + 5a = 7a + -1(a + 2)

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

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

Combine like terms: 7a + -1a = 6a
-2 + 5a = -2 + 6a

Add '2' to each side of the equation.
-2 + 2 + 5a = -2 + 2 + 6a

Combine like terms: -2 + 2 = 0
0 + 5a = -2 + 2 + 6a
5a = -2 + 2 + 6a

Combine like terms: -2 + 2 = 0
5a = 0 + 6a
5a = 6a

Solving
5a = 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
5a + -6a = 6a + -6a

Combine like terms: 5a + -6a = -1a
-1a = 6a + -6a

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

Divide each side by '-1'.
a = 0

Simplifying
a = 0

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