5(a+2)=4(a-9)

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Solution for 5(a+2)=4(a-9) equation:


Simplifying
5(a + 2) = 4(a + -9)

Reorder the terms:
5(2 + a) = 4(a + -9)
(2 * 5 + a * 5) = 4(a + -9)
(10 + 5a) = 4(a + -9)

Reorder the terms:
10 + 5a = 4(-9 + a)
10 + 5a = (-9 * 4 + a * 4)
10 + 5a = (-36 + 4a)

Solving
10 + 5a = -36 + 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.
10 + 5a + -4a = -36 + 4a + -4a

Combine like terms: 5a + -4a = 1a
10 + 1a = -36 + 4a + -4a

Combine like terms: 4a + -4a = 0
10 + 1a = -36 + 0
10 + 1a = -36

Add '-10' to each side of the equation.
10 + -10 + 1a = -36 + -10

Combine like terms: 10 + -10 = 0
0 + 1a = -36 + -10
1a = -36 + -10

Combine like terms: -36 + -10 = -46
1a = -46

Divide each side by '1'.
a = -46

Simplifying
a = -46

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