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

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


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

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

Reorder the terms:
-4 + 3a = 5(-2 + 3a)
-4 + 3a = (-2 * 5 + 3a * 5)
-4 + 3a = (-10 + 15a)

Solving
-4 + 3a = -10 + 15a

Solving for variable 'a'.

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

Add '-15a' to each side of the equation.
-4 + 3a + -15a = -10 + 15a + -15a

Combine like terms: 3a + -15a = -12a
-4 + -12a = -10 + 15a + -15a

Combine like terms: 15a + -15a = 0
-4 + -12a = -10 + 0
-4 + -12a = -10

Add '4' to each side of the equation.
-4 + 4 + -12a = -10 + 4

Combine like terms: -4 + 4 = 0
0 + -12a = -10 + 4
-12a = -10 + 4

Combine like terms: -10 + 4 = -6
-12a = -6

Divide each side by '-12'.
a = 0.5

Simplifying
a = 0.5

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