4(a-2)=-3(2a+1)+5

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Solution for 4(a-2)=-3(2a+1)+5 equation: 


Simplifying
4(a + -2) = -3(2a + 1) + 5

Reorder the terms:
4(-2 + a) = -3(2a + 1) + 5
(-2 * 4 + a * 4) = -3(2a + 1) + 5
(-8 + 4a) = -3(2a + 1) + 5

Reorder the terms:
-8 + 4a = -3(1 + 2a) + 5
-8 + 4a = (1 * -3 + 2a * -3) + 5
-8 + 4a = (-3 + -6a) + 5

Reorder the terms:
-8 + 4a = -3 + 5 + -6a

Combine like terms: -3 + 5 = 2
-8 + 4a = 2 + -6a

Solving
-8 + 4a = 2 + -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.
-8 + 4a + 6a = 2 + -6a + 6a

Combine like terms: 4a + 6a = 10a
-8 + 10a = 2 + -6a + 6a

Combine like terms: -6a + 6a = 0
-8 + 10a = 2 + 0
-8 + 10a = 2

Add '8' to each side of the equation.
-8 + 8 + 10a = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 10a = 2 + 8
10a = 2 + 8

Combine like terms: 2 + 8 = 10
10a = 10

Divide each side by '10'.
a = 1

Simplifying
a = 1

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