5(a+10)=4(a-9)

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Solution for 5(a+10)=4(a-9) equation:


Simplifying
5(a + 10) = 4(a + -9)

Reorder the terms:
5(10 + a) = 4(a + -9)
(10 * 5 + a * 5) = 4(a + -9)
(50 + 5a) = 4(a + -9)

Reorder the terms:
50 + 5a = 4(-9 + a)
50 + 5a = (-9 * 4 + a * 4)
50 + 5a = (-36 + 4a)

Solving
50 + 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.
50 + 5a + -4a = -36 + 4a + -4a

Combine like terms: 5a + -4a = 1a
50 + 1a = -36 + 4a + -4a

Combine like terms: 4a + -4a = 0
50 + 1a = -36 + 0
50 + 1a = -36

Add '-50' to each side of the equation.
50 + -50 + 1a = -36 + -50

Combine like terms: 50 + -50 = 0
0 + 1a = -36 + -50
1a = -36 + -50

Combine like terms: -36 + -50 = -86
1a = -86

Divide each side by '1'.
a = -86

Simplifying
a = -86

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