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

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


Simplifying
4a + -1(3a + -5) = a + -7

Reorder the terms:
4a + -1(-5 + 3a) = a + -7
4a + (-5 * -1 + 3a * -1) = a + -7
4a + (5 + -3a) = a + -7

Reorder the terms:
5 + 4a + -3a = a + -7

Combine like terms: 4a + -3a = 1a
5 + 1a = a + -7

Reorder the terms:
5 + 1a = -7 + a

Solving
5 + 1a = -7 + 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.
5 + 1a + -1a = -7 + a + -1a

Combine like terms: 1a + -1a = 0
5 + 0 = -7 + a + -1a
5 = -7 + a + -1a

Combine like terms: a + -1a = 0
5 = -7 + 0
5 = -7

Add '-5' to each side of the equation.
5 + -5 = -7 + -5

Combine like terms: 5 + -5 = 0
0 = -7 + -5

Combine like terms: -7 + -5 = -12
0 = -12

Simplifying
0 = -12

Combine like terms: 0 + 12 = 12
12 = -12 + 12

Combine like terms: -12 + 12 = 0
12 = 0

The solution to this equation could not be determined.

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