1+2a=7a-(8a+3)

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Solution for 1+2a=7a-(8a+3) equation:


Simplifying
1 + 2a = 7a + -1(8a + 3)

Reorder the terms:
1 + 2a = 7a + -1(3 + 8a)
1 + 2a = 7a + (3 * -1 + 8a * -1)
1 + 2a = 7a + (-3 + -8a)

Reorder the terms:
1 + 2a = -3 + 7a + -8a

Combine like terms: 7a + -8a = -1a
1 + 2a = -3 + -1a

Solving
1 + 2a = -3 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
1 + 2a + a = -3 + -1a + a

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

Combine like terms: -1a + a = 0
1 + 3a = -3 + 0
1 + 3a = -3

Add '-1' to each side of the equation.
1 + -1 + 3a = -3 + -1

Combine like terms: 1 + -1 = 0
0 + 3a = -3 + -1
3a = -3 + -1

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

Divide each side by '3'.
a = -1.333333333

Simplifying
a = -1.333333333

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