10(3a-4)=-5(4a-3)-5

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Solution for 10(3a-4)=-5(4a-3)-5 equation:


Simplifying
10(3a + -4) = -5(4a + -3) + -5

Reorder the terms:
10(-4 + 3a) = -5(4a + -3) + -5
(-4 * 10 + 3a * 10) = -5(4a + -3) + -5
(-40 + 30a) = -5(4a + -3) + -5

Reorder the terms:
-40 + 30a = -5(-3 + 4a) + -5
-40 + 30a = (-3 * -5 + 4a * -5) + -5
-40 + 30a = (15 + -20a) + -5

Reorder the terms:
-40 + 30a = 15 + -5 + -20a

Combine like terms: 15 + -5 = 10
-40 + 30a = 10 + -20a

Solving
-40 + 30a = 10 + -20a

Solving for variable 'a'.

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

Add '20a' to each side of the equation.
-40 + 30a + 20a = 10 + -20a + 20a

Combine like terms: 30a + 20a = 50a
-40 + 50a = 10 + -20a + 20a

Combine like terms: -20a + 20a = 0
-40 + 50a = 10 + 0
-40 + 50a = 10

Add '40' to each side of the equation.
-40 + 40 + 50a = 10 + 40

Combine like terms: -40 + 40 = 0
0 + 50a = 10 + 40
50a = 10 + 40

Combine like terms: 10 + 40 = 50
50a = 50

Divide each side by '50'.
a = 1

Simplifying
a = 1

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