2a-5=4(3a+1)-2

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Solution for 2a-5=4(3a+1)-2 equation:


Simplifying
2a + -5 = 4(3a + 1) + -2

Reorder the terms:
-5 + 2a = 4(3a + 1) + -2

Reorder the terms:
-5 + 2a = 4(1 + 3a) + -2
-5 + 2a = (1 * 4 + 3a * 4) + -2
-5 + 2a = (4 + 12a) + -2

Reorder the terms:
-5 + 2a = 4 + -2 + 12a

Combine like terms: 4 + -2 = 2
-5 + 2a = 2 + 12a

Solving
-5 + 2a = 2 + 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.
-5 + 2a + -12a = 2 + 12a + -12a

Combine like terms: 2a + -12a = -10a
-5 + -10a = 2 + 12a + -12a

Combine like terms: 12a + -12a = 0
-5 + -10a = 2 + 0
-5 + -10a = 2

Add '5' to each side of the equation.
-5 + 5 + -10a = 2 + 5

Combine like terms: -5 + 5 = 0
0 + -10a = 2 + 5
-10a = 2 + 5

Combine like terms: 2 + 5 = 7
-10a = 7

Divide each side by '-10'.
a = -0.7

Simplifying
a = -0.7

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