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

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


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

Reorder the terms:
5(-3 + 3a) + -2(2a + -5) = 2a + 4
(-3 * 5 + 3a * 5) + -2(2a + -5) = 2a + 4
(-15 + 15a) + -2(2a + -5) = 2a + 4

Reorder the terms:
-15 + 15a + -2(-5 + 2a) = 2a + 4
-15 + 15a + (-5 * -2 + 2a * -2) = 2a + 4
-15 + 15a + (10 + -4a) = 2a + 4

Reorder the terms:
-15 + 10 + 15a + -4a = 2a + 4

Combine like terms: -15 + 10 = -5
-5 + 15a + -4a = 2a + 4

Combine like terms: 15a + -4a = 11a
-5 + 11a = 2a + 4

Reorder the terms:
-5 + 11a = 4 + 2a

Solving
-5 + 11a = 4 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-5 + 11a + -2a = 4 + 2a + -2a

Combine like terms: 11a + -2a = 9a
-5 + 9a = 4 + 2a + -2a

Combine like terms: 2a + -2a = 0
-5 + 9a = 4 + 0
-5 + 9a = 4

Add '5' to each side of the equation.
-5 + 5 + 9a = 4 + 5

Combine like terms: -5 + 5 = 0
0 + 9a = 4 + 5
9a = 4 + 5

Combine like terms: 4 + 5 = 9
9a = 9

Divide each side by '9'.
a = 1

Simplifying
a = 1

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