-a+7=17+3a-4

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Solution for -a+7=17+3a-4 equation:


Simplifying
-1a + 7 = 17 + 3a + -4

Reorder the terms:
7 + -1a = 17 + 3a + -4

Reorder the terms:
7 + -1a = 17 + -4 + 3a

Combine like terms: 17 + -4 = 13
7 + -1a = 13 + 3a

Solving
7 + -1a = 13 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
7 + -1a + -3a = 13 + 3a + -3a

Combine like terms: -1a + -3a = -4a
7 + -4a = 13 + 3a + -3a

Combine like terms: 3a + -3a = 0
7 + -4a = 13 + 0
7 + -4a = 13

Add '-7' to each side of the equation.
7 + -7 + -4a = 13 + -7

Combine like terms: 7 + -7 = 0
0 + -4a = 13 + -7
-4a = 13 + -7

Combine like terms: 13 + -7 = 6
-4a = 6

Divide each side by '-4'.
a = -1.5

Simplifying
a = -1.5

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