5a-2(4a-5)=7a

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Solution for 5a-2(4a-5)=7a equation:


Simplifying
5a + -2(4a + -5) = 7a

Reorder the terms:
5a + -2(-5 + 4a) = 7a
5a + (-5 * -2 + 4a * -2) = 7a
5a + (10 + -8a) = 7a

Reorder the terms:
10 + 5a + -8a = 7a

Combine like terms: 5a + -8a = -3a
10 + -3a = 7a

Solving
10 + -3a = 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
10 + -3a + -7a = 7a + -7a

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

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

Add '-10' to each side of the equation.
10 + -10 + -10a = 0 + -10

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

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

Divide each side by '-10'.
a = 1

Simplifying
a = 1

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