5-3(a+4)=a-7

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Solution for 5-3(a+4)=a-7 equation: 


Simplifying
5 + -3(a + 4) = a + -7

Reorder the terms:
5 + -3(4 + a) = a + -7
5 + (4 * -3 + a * -3) = a + -7
5 + (-12 + -3a) = a + -7

Combine like terms: 5 + -12 = -7
-7 + -3a = a + -7

Reorder the terms:
-7 + -3a = -7 + a

Add '7' to each side of the equation.
-7 + 7 + -3a = -7 + 7 + a

Combine like terms: -7 + 7 = 0
0 + -3a = -7 + 7 + a
-3a = -7 + 7 + a

Combine like terms: -7 + 7 = 0
-3a = 0 + a
-3a = a

Solving
-3a = 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.
-3a + -1a = a + -1a

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

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

Divide each side by '-4'.
a = 0

Simplifying
a = 0

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