(2a-1)=-10(a-5)

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Solution for (2a-1)=-10(a-5) equation:


Simplifying
(2a + -1) = -10(a + -5)

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

Remove parenthesis around (-1 + 2a)
-1 + 2a = -10(a + -5)

Reorder the terms:
-1 + 2a = -10(-5 + a)
-1 + 2a = (-5 * -10 + a * -10)
-1 + 2a = (50 + -10a)

Solving
-1 + 2a = 50 + -10a

Solving for variable 'a'.

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

Add '10a' to each side of the equation.
-1 + 2a + 10a = 50 + -10a + 10a

Combine like terms: 2a + 10a = 12a
-1 + 12a = 50 + -10a + 10a

Combine like terms: -10a + 10a = 0
-1 + 12a = 50 + 0
-1 + 12a = 50

Add '1' to each side of the equation.
-1 + 1 + 12a = 50 + 1

Combine like terms: -1 + 1 = 0
0 + 12a = 50 + 1
12a = 50 + 1

Combine like terms: 50 + 1 = 51
12a = 51

Divide each side by '12'.
a = 4.25

Simplifying
a = 4.25

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