1a+4=5a-10

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Solution for 1a+4=5a-10 equation:


Simplifying
1a + 4 = 5a + -10

Reorder the terms:
4 + 1a = 5a + -10

Reorder the terms:
4 + 1a = -10 + 5a

Solving
4 + 1a = -10 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
4 + 1a + -5a = -10 + 5a + -5a

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

Combine like terms: 5a + -5a = 0
4 + -4a = -10 + 0
4 + -4a = -10

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

Combine like terms: 4 + -4 = 0
0 + -4a = -10 + -4
-4a = -10 + -4

Combine like terms: -10 + -4 = -14
-4a = -14

Divide each side by '-4'.
a = 3.5

Simplifying
a = 3.5

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