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

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


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

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

Reorder the terms:
-3 + 3a + -5(-2 + a) = -2(2a + 1) + -3
-3 + 3a + (-2 * -5 + a * -5) = -2(2a + 1) + -3
-3 + 3a + (10 + -5a) = -2(2a + 1) + -3

Reorder the terms:
-3 + 10 + 3a + -5a = -2(2a + 1) + -3

Combine like terms: -3 + 10 = 7
7 + 3a + -5a = -2(2a + 1) + -3

Combine like terms: 3a + -5a = -2a
7 + -2a = -2(2a + 1) + -3

Reorder the terms:
7 + -2a = -2(1 + 2a) + -3
7 + -2a = (1 * -2 + 2a * -2) + -3
7 + -2a = (-2 + -4a) + -3

Reorder the terms:
7 + -2a = -2 + -3 + -4a

Combine like terms: -2 + -3 = -5
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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