4(2a-1)=-10(a-5)

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Solution for 4(2a-1)=-10(a-5) equation:


Simplifying
4(2a + -1) = -10(a + -5)

Reorder the terms:
4(-1 + 2a) = -10(a + -5)
(-1 * 4 + 2a * 4) = -10(a + -5)
(-4 + 8a) = -10(a + -5)

Reorder the terms:
-4 + 8a = -10(-5 + a)
-4 + 8a = (-5 * -10 + a * -10)
-4 + 8a = (50 + -10a)

Solving
-4 + 8a = 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.
-4 + 8a + 10a = 50 + -10a + 10a

Combine like terms: 8a + 10a = 18a
-4 + 18a = 50 + -10a + 10a

Combine like terms: -10a + 10a = 0
-4 + 18a = 50 + 0
-4 + 18a = 50

Add '4' to each side of the equation.
-4 + 4 + 18a = 50 + 4

Combine like terms: -4 + 4 = 0
0 + 18a = 50 + 4
18a = 50 + 4

Combine like terms: 50 + 4 = 54
18a = 54

Divide each side by '18'.
a = 3

Simplifying
a = 3

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