2a+7=4a-5

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Solution for 2a+7=4a-5 equation:


Simplifying
2a + 7 = 4a + -5

Reorder the terms:
7 + 2a = 4a + -5

Reorder the terms:
7 + 2a = -5 + 4a

Solving
7 + 2a = -5 + 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.
7 + 2a + -4a = -5 + 4a + -4a

Combine like terms: 2a + -4a = -2a
7 + -2a = -5 + 4a + -4a

Combine like terms: 4a + -4a = 0
7 + -2a = -5 + 0
7 + -2a = -5

Add '-7' to each side of the equation.
7 + -7 + -2a = -5 + -7

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

Combine like terms: -5 + -7 = -12
-2a = -12

Divide each side by '-2'.
a = 6

Simplifying
a = 6

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