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

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


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

Reorder the terms:
a + -2(-5 + 3a) = 2a + -4
a + (-5 * -2 + 3a * -2) = 2a + -4
a + (10 + -6a) = 2a + -4

Reorder the terms:
10 + a + -6a = 2a + -4

Combine like terms: a + -6a = -5a
10 + -5a = 2a + -4

Reorder the terms:
10 + -5a = -4 + 2a

Solving
10 + -5a = -4 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
10 + -5a + -2a = -4 + 2a + -2a

Combine like terms: -5a + -2a = -7a
10 + -7a = -4 + 2a + -2a

Combine like terms: 2a + -2a = 0
10 + -7a = -4 + 0
10 + -7a = -4

Add '-10' to each side of the equation.
10 + -10 + -7a = -4 + -10

Combine like terms: 10 + -10 = 0
0 + -7a = -4 + -10
-7a = -4 + -10

Combine like terms: -4 + -10 = -14
-7a = -14

Divide each side by '-7'.
a = 2

Simplifying
a = 2

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