3(a+1)+2(a-1)=a+4

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Solution for 3(a+1)+2(a-1)=a+4 equation:


Simplifying
3(a + 1) + 2(a + -1) = a + 4

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

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

Reorder the terms:
3 + -2 + 3a + 2a = a + 4

Combine like terms: 3 + -2 = 1
1 + 3a + 2a = a + 4

Combine like terms: 3a + 2a = 5a
1 + 5a = a + 4

Reorder the terms:
1 + 5a = 4 + a

Solving
1 + 5a = 4 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
1 + 5a + -1a = 4 + a + -1a

Combine like terms: 5a + -1a = 4a
1 + 4a = 4 + a + -1a

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

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

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

Combine like terms: 4 + -1 = 3
4a = 3

Divide each side by '4'.
a = 0.75

Simplifying
a = 0.75

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