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

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


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

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

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

Solving
20 + 5a = -12 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
20 + 5a + -4a = -12 + 4a + -4a

Combine like terms: 5a + -4a = 1a
20 + 1a = -12 + 4a + -4a

Combine like terms: 4a + -4a = 0
20 + 1a = -12 + 0
20 + 1a = -12

Add '-20' to each side of the equation.
20 + -20 + 1a = -12 + -20

Combine like terms: 20 + -20 = 0
0 + 1a = -12 + -20
1a = -12 + -20

Combine like terms: -12 + -20 = -32
1a = -32

Divide each side by '1'.
a = -32

Simplifying
a = -32

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