2(3a-4)=2a-10(a-3)

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Solution for 2(3a-4)=2a-10(a-3) equation:


Simplifying
2(3a + -4) = 2a + -10(a + -3)

Reorder the terms:
2(-4 + 3a) = 2a + -10(a + -3)
(-4 * 2 + 3a * 2) = 2a + -10(a + -3)
(-8 + 6a) = 2a + -10(a + -3)

Reorder the terms:
-8 + 6a = 2a + -10(-3 + a)
-8 + 6a = 2a + (-3 * -10 + a * -10)
-8 + 6a = 2a + (30 + -10a)

Reorder the terms:
-8 + 6a = 30 + 2a + -10a

Combine like terms: 2a + -10a = -8a
-8 + 6a = 30 + -8a

Solving
-8 + 6a = 30 + -8a

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
-8 + 6a + 8a = 30 + -8a + 8a

Combine like terms: 6a + 8a = 14a
-8 + 14a = 30 + -8a + 8a

Combine like terms: -8a + 8a = 0
-8 + 14a = 30 + 0
-8 + 14a = 30

Add '8' to each side of the equation.
-8 + 8 + 14a = 30 + 8

Combine like terms: -8 + 8 = 0
0 + 14a = 30 + 8
14a = 30 + 8

Combine like terms: 30 + 8 = 38
14a = 38

Divide each side by '14'.
a = 2.714285714

Simplifying
a = 2.714285714

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