2a-9=4(3a+1)-7

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Solution for 2a-9=4(3a+1)-7 equation:


Simplifying
2a + -9 = 4(3a + 1) + -7

Reorder the terms:
-9 + 2a = 4(3a + 1) + -7

Reorder the terms:
-9 + 2a = 4(1 + 3a) + -7
-9 + 2a = (1 * 4 + 3a * 4) + -7
-9 + 2a = (4 + 12a) + -7

Reorder the terms:
-9 + 2a = 4 + -7 + 12a

Combine like terms: 4 + -7 = -3
-9 + 2a = -3 + 12a

Solving
-9 + 2a = -3 + 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.
-9 + 2a + -12a = -3 + 12a + -12a

Combine like terms: 2a + -12a = -10a
-9 + -10a = -3 + 12a + -12a

Combine like terms: 12a + -12a = 0
-9 + -10a = -3 + 0
-9 + -10a = -3

Add '9' to each side of the equation.
-9 + 9 + -10a = -3 + 9

Combine like terms: -9 + 9 = 0
0 + -10a = -3 + 9
-10a = -3 + 9

Combine like terms: -3 + 9 = 6
-10a = 6

Divide each side by '-10'.
a = -0.6

Simplifying
a = -0.6

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