4a-7=6a+8

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Solution for 4a-7=6a+8 equation:


Simplifying
4a + -7 = 6a + 8

Reorder the terms:
-7 + 4a = 6a + 8

Reorder the terms:
-7 + 4a = 8 + 6a

Solving
-7 + 4a = 8 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-7 + 4a + -6a = 8 + 6a + -6a

Combine like terms: 4a + -6a = -2a
-7 + -2a = 8 + 6a + -6a

Combine like terms: 6a + -6a = 0
-7 + -2a = 8 + 0
-7 + -2a = 8

Add '7' to each side of the equation.
-7 + 7 + -2a = 8 + 7

Combine like terms: -7 + 7 = 0
0 + -2a = 8 + 7
-2a = 8 + 7

Combine like terms: 8 + 7 = 15
-2a = 15

Divide each side by '-2'.
a = -7.5

Simplifying
a = -7.5

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