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

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


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

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

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

Combine like terms: -3a + 2a = -1a
-10 + -1a = 5(a + -2)

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

Add '10' to each side of the equation.
-10 + 10 + -1a = -10 + 10 + 5a

Combine like terms: -10 + 10 = 0
0 + -1a = -10 + 10 + 5a
-1a = -10 + 10 + 5a

Combine like terms: -10 + 10 = 0
-1a = 0 + 5a
-1a = 5a

Solving
-1a = 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-1a + -5a = 5a + -5a

Combine like terms: -1a + -5a = -6a
-6a = 5a + -5a

Combine like terms: 5a + -5a = 0
-6a = 0

Divide each side by '-6'.
a = 0

Simplifying
a = 0

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