1a+3b+2c+d=1x+5d-3m-9a

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Solution for 1a+3b+2c+d=1x+5d-3m-9a equation:


Simplifying
1a + 3b + 2c + d = 1x + 5d + -3m + -9a

Reorder the terms:
1a + 3b + 2c + d = -9a + 5d + -3m + 1x

Solving
1a + 3b + 2c + d = -9a + 5d + -3m + 1x

Solving for variable 'a'.

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

Add '9a' to each side of the equation.
1a + 3b + 2c + 9a + d = -9a + 5d + -3m + 9a + 1x

Reorder the terms:
1a + 9a + 3b + 2c + d = -9a + 5d + -3m + 9a + 1x

Combine like terms: 1a + 9a = 10a
10a + 3b + 2c + d = -9a + 5d + -3m + 9a + 1x

Reorder the terms:
10a + 3b + 2c + d = -9a + 9a + 5d + -3m + 1x

Combine like terms: -9a + 9a = 0
10a + 3b + 2c + d = 0 + 5d + -3m + 1x
10a + 3b + 2c + d = 5d + -3m + 1x

Add '-3b' to each side of the equation.
10a + 3b + 2c + -3b + d = 5d + -3m + -3b + 1x

Reorder the terms:
10a + 3b + -3b + 2c + d = 5d + -3m + -3b + 1x

Combine like terms: 3b + -3b = 0
10a + 0 + 2c + d = 5d + -3m + -3b + 1x
10a + 2c + d = 5d + -3m + -3b + 1x

Reorder the terms:
10a + 2c + d = -3b + 5d + -3m + 1x

Add '-2c' to each side of the equation.
10a + 2c + -2c + d = -3b + 5d + -3m + -2c + 1x

Combine like terms: 2c + -2c = 0
10a + 0 + d = -3b + 5d + -3m + -2c + 1x
10a + d = -3b + 5d + -3m + -2c + 1x

Reorder the terms:
10a + d = -3b + -2c + 5d + -3m + 1x

Add '-1d' to each side of the equation.
10a + d + -1d = -3b + -2c + 5d + -3m + -1d + 1x

Combine like terms: d + -1d = 0
10a + 0 = -3b + -2c + 5d + -3m + -1d + 1x
10a = -3b + -2c + 5d + -3m + -1d + 1x

Reorder the terms:
10a = -3b + -2c + 5d + -1d + -3m + 1x

Combine like terms: 5d + -1d = 4d
10a = -3b + -2c + 4d + -3m + 1x

Divide each side by '10'.
a = -0.3b + -0.2c + 0.4d + -0.3m + 0.1x

Simplifying
a = -0.3b + -0.2c + 0.4d + -0.3m + 0.1x

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