4(a+5)=3(2a+10)

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Solution for 4(a+5)=3(2a+10) equation:


Simplifying
4(a + 5) = 3(2a + 10)

Reorder the terms:
4(5 + a) = 3(2a + 10)
(5 * 4 + a * 4) = 3(2a + 10)
(20 + 4a) = 3(2a + 10)

Reorder the terms:
20 + 4a = 3(10 + 2a)
20 + 4a = (10 * 3 + 2a * 3)
20 + 4a = (30 + 6a)

Solving
20 + 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.
20 + 4a + -6a = 30 + 6a + -6a

Combine like terms: 4a + -6a = -2a
20 + -2a = 30 + 6a + -6a

Combine like terms: 6a + -6a = 0
20 + -2a = 30 + 0
20 + -2a = 30

Add '-20' to each side of the equation.
20 + -20 + -2a = 30 + -20

Combine like terms: 20 + -20 = 0
0 + -2a = 30 + -20
-2a = 30 + -20

Combine like terms: 30 + -20 = 10
-2a = 10

Divide each side by '-2'.
a = -5

Simplifying
a = -5

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