2a-8=4(3a+1)-3

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Solution for 2a-8=4(3a+1)-3 equation:


Simplifying
2a + -8 = 4(3a + 1) + -3

Reorder the terms:
-8 + 2a = 4(3a + 1) + -3

Reorder the terms:
-8 + 2a = 4(1 + 3a) + -3
-8 + 2a = (1 * 4 + 3a * 4) + -3
-8 + 2a = (4 + 12a) + -3

Reorder the terms:
-8 + 2a = 4 + -3 + 12a

Combine like terms: 4 + -3 = 1
-8 + 2a = 1 + 12a

Solving
-8 + 2a = 1 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
-8 + 2a + -12a = 1 + 12a + -12a

Combine like terms: 2a + -12a = -10a
-8 + -10a = 1 + 12a + -12a

Combine like terms: 12a + -12a = 0
-8 + -10a = 1 + 0
-8 + -10a = 1

Add '8' to each side of the equation.
-8 + 8 + -10a = 1 + 8

Combine like terms: -8 + 8 = 0
0 + -10a = 1 + 8
-10a = 1 + 8

Combine like terms: 1 + 8 = 9
-10a = 9

Divide each side by '-10'.
a = -0.9

Simplifying
a = -0.9

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