3(2a-13)=5(4a-28)

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Solution for 3(2a-13)=5(4a-28) equation:


Simplifying
3(2a + -13) = 5(4a + -28)

Reorder the terms:
3(-13 + 2a) = 5(4a + -28)
(-13 * 3 + 2a * 3) = 5(4a + -28)
(-39 + 6a) = 5(4a + -28)

Reorder the terms:
-39 + 6a = 5(-28 + 4a)
-39 + 6a = (-28 * 5 + 4a * 5)
-39 + 6a = (-140 + 20a)

Solving
-39 + 6a = -140 + 20a

Solving for variable 'a'.

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

Add '-20a' to each side of the equation.
-39 + 6a + -20a = -140 + 20a + -20a

Combine like terms: 6a + -20a = -14a
-39 + -14a = -140 + 20a + -20a

Combine like terms: 20a + -20a = 0
-39 + -14a = -140 + 0
-39 + -14a = -140

Add '39' to each side of the equation.
-39 + 39 + -14a = -140 + 39

Combine like terms: -39 + 39 = 0
0 + -14a = -140 + 39
-14a = -140 + 39

Combine like terms: -140 + 39 = -101
-14a = -101

Divide each side by '-14'.
a = 7.214285714

Simplifying
a = 7.214285714

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