3a+10=4a-8

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Solution for 3a+10=4a-8 equation:


Simplifying
3a + 10 = 4a + -8

Reorder the terms:
10 + 3a = 4a + -8

Reorder the terms:
10 + 3a = -8 + 4a

Solving
10 + 3a = -8 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
10 + 3a + -4a = -8 + 4a + -4a

Combine like terms: 3a + -4a = -1a
10 + -1a = -8 + 4a + -4a

Combine like terms: 4a + -4a = 0
10 + -1a = -8 + 0
10 + -1a = -8

Add '-10' to each side of the equation.
10 + -10 + -1a = -8 + -10

Combine like terms: 10 + -10 = 0
0 + -1a = -8 + -10
-1a = -8 + -10

Combine like terms: -8 + -10 = -18
-1a = -18

Divide each side by '-1'.
a = 18

Simplifying
a = 18

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