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

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


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

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

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

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

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

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

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

Solving
4 + a = 1 + 5a

Solving for variable 'a'.

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

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

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

Combine like terms: 5a + -5a = 0
4 + -4a = 1 + 0
4 + -4a = 1

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

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

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

Divide each side by '-4'.
a = 0.75

Simplifying
a = 0.75

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