6a+7=2a-3

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Solution for 6a+7=2a-3 equation:


Simplifying
6a + 7 = 2a + -3

Reorder the terms:
7 + 6a = 2a + -3

Reorder the terms:
7 + 6a = -3 + 2a

Solving
7 + 6a = -3 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
7 + 6a + -2a = -3 + 2a + -2a

Combine like terms: 6a + -2a = 4a
7 + 4a = -3 + 2a + -2a

Combine like terms: 2a + -2a = 0
7 + 4a = -3 + 0
7 + 4a = -3

Add '-7' to each side of the equation.
7 + -7 + 4a = -3 + -7

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

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

Divide each side by '4'.
a = -2.5

Simplifying
a = -2.5

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