3a-10+4a=5a-7

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Solution for 3a-10+4a=5a-7 equation:


Simplifying
3a + -10 + 4a = 5a + -7

Reorder the terms:
-10 + 3a + 4a = 5a + -7

Combine like terms: 3a + 4a = 7a
-10 + 7a = 5a + -7

Reorder the terms:
-10 + 7a = -7 + 5a

Solving
-10 + 7a = -7 + 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.
-10 + 7a + -5a = -7 + 5a + -5a

Combine like terms: 7a + -5a = 2a
-10 + 2a = -7 + 5a + -5a

Combine like terms: 5a + -5a = 0
-10 + 2a = -7 + 0
-10 + 2a = -7

Add '10' to each side of the equation.
-10 + 10 + 2a = -7 + 10

Combine like terms: -10 + 10 = 0
0 + 2a = -7 + 10
2a = -7 + 10

Combine like terms: -7 + 10 = 3
2a = 3

Divide each side by '2'.
a = 1.5

Simplifying
a = 1.5

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