5a+3-(3x-7)=a+9

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Solution for 5a+3-(3x-7)=a+9 equation:


Simplifying
5a + 3 + -1(3x + -7) = a + 9

Reorder the terms:
5a + 3 + -1(-7 + 3x) = a + 9
5a + 3 + (-7 * -1 + 3x * -1) = a + 9
5a + 3 + (7 + -3x) = a + 9

Reorder the terms:
3 + 7 + 5a + -3x = a + 9

Combine like terms: 3 + 7 = 10
10 + 5a + -3x = a + 9

Reorder the terms:
10 + 5a + -3x = 9 + a

Solving
10 + 5a + -3x = 9 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
10 + 5a + -1a + -3x = 9 + a + -1a

Combine like terms: 5a + -1a = 4a
10 + 4a + -3x = 9 + a + -1a

Combine like terms: a + -1a = 0
10 + 4a + -3x = 9 + 0
10 + 4a + -3x = 9

Add '-10' to each side of the equation.
10 + 4a + -10 + -3x = 9 + -10

Reorder the terms:
10 + -10 + 4a + -3x = 9 + -10

Combine like terms: 10 + -10 = 0
0 + 4a + -3x = 9 + -10
4a + -3x = 9 + -10

Combine like terms: 9 + -10 = -1
4a + -3x = -1

Add '3x' to each side of the equation.
4a + -3x + 3x = -1 + 3x

Combine like terms: -3x + 3x = 0
4a + 0 = -1 + 3x
4a = -1 + 3x

Divide each side by '4'.
a = -0.25 + 0.75x

Simplifying
a = -0.25 + 0.75x

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