2(a-5)=3a-1

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


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

Reorder the terms:
2(-5 + a) = 3a + -1
(-5 * 2 + a * 2) = 3a + -1
(-10 + 2a) = 3a + -1

Reorder the terms:
-10 + 2a = -1 + 3a

Solving
-10 + 2a = -1 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-10 + 2a + -3a = -1 + 3a + -3a

Combine like terms: 2a + -3a = -1a
-10 + -1a = -1 + 3a + -3a

Combine like terms: 3a + -3a = 0
-10 + -1a = -1 + 0
-10 + -1a = -1

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

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

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

Divide each side by '-1'.
a = -9

Simplifying
a = -9

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