4(a-2)=6(a+5)

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Solution for 4(a-2)=6(a+5) equation:


Simplifying
4(a + -2) = 6(a + 5)

Reorder the terms:
4(-2 + a) = 6(a + 5)
(-2 * 4 + a * 4) = 6(a + 5)
(-8 + 4a) = 6(a + 5)

Reorder the terms:
-8 + 4a = 6(5 + a)
-8 + 4a = (5 * 6 + a * 6)
-8 + 4a = (30 + 6a)

Solving
-8 + 4a = 30 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-8 + 4a + -6a = 30 + 6a + -6a

Combine like terms: 4a + -6a = -2a
-8 + -2a = 30 + 6a + -6a

Combine like terms: 6a + -6a = 0
-8 + -2a = 30 + 0
-8 + -2a = 30

Add '8' to each side of the equation.
-8 + 8 + -2a = 30 + 8

Combine like terms: -8 + 8 = 0
0 + -2a = 30 + 8
-2a = 30 + 8

Combine like terms: 30 + 8 = 38
-2a = 38

Divide each side by '-2'.
a = -19

Simplifying
a = -19

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