4(3a-1)=5(4a-1)-4(3a-2)

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Solution for 4(3a-1)=5(4a-1)-4(3a-2) equation:


Simplifying
4(3a + -1) = 5(4a + -1) + -4(3a + -2)

Reorder the terms:
4(-1 + 3a) = 5(4a + -1) + -4(3a + -2)
(-1 * 4 + 3a * 4) = 5(4a + -1) + -4(3a + -2)
(-4 + 12a) = 5(4a + -1) + -4(3a + -2)

Reorder the terms:
-4 + 12a = 5(-1 + 4a) + -4(3a + -2)
-4 + 12a = (-1 * 5 + 4a * 5) + -4(3a + -2)
-4 + 12a = (-5 + 20a) + -4(3a + -2)

Reorder the terms:
-4 + 12a = -5 + 20a + -4(-2 + 3a)
-4 + 12a = -5 + 20a + (-2 * -4 + 3a * -4)
-4 + 12a = -5 + 20a + (8 + -12a)

Reorder the terms:
-4 + 12a = -5 + 8 + 20a + -12a

Combine like terms: -5 + 8 = 3
-4 + 12a = 3 + 20a + -12a

Combine like terms: 20a + -12a = 8a
-4 + 12a = 3 + 8a

Solving
-4 + 12a = 3 + 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.
-4 + 12a + -8a = 3 + 8a + -8a

Combine like terms: 12a + -8a = 4a
-4 + 4a = 3 + 8a + -8a

Combine like terms: 8a + -8a = 0
-4 + 4a = 3 + 0
-4 + 4a = 3

Add '4' to each side of the equation.
-4 + 4 + 4a = 3 + 4

Combine like terms: -4 + 4 = 0
0 + 4a = 3 + 4
4a = 3 + 4

Combine like terms: 3 + 4 = 7
4a = 7

Divide each side by '4'.
a = 1.75

Simplifying
a = 1.75

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