5(a-3)+2=3a-19

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Solution for 5(a-3)+2=3a-19 equation:


Simplifying
5(a + -3) + 2 = 3a + -19

Reorder the terms:
5(-3 + a) + 2 = 3a + -19
(-3 * 5 + a * 5) + 2 = 3a + -19
(-15 + 5a) + 2 = 3a + -19

Reorder the terms:
-15 + 2 + 5a = 3a + -19

Combine like terms: -15 + 2 = -13
-13 + 5a = 3a + -19

Reorder the terms:
-13 + 5a = -19 + 3a

Solving
-13 + 5a = -19 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-13 + 5a + -3a = -19 + 3a + -3a

Combine like terms: 5a + -3a = 2a
-13 + 2a = -19 + 3a + -3a

Combine like terms: 3a + -3a = 0
-13 + 2a = -19 + 0
-13 + 2a = -19

Add '13' to each side of the equation.
-13 + 13 + 2a = -19 + 13

Combine like terms: -13 + 13 = 0
0 + 2a = -19 + 13
2a = -19 + 13

Combine like terms: -19 + 13 = -6
2a = -6

Divide each side by '2'.
a = -3

Simplifying
a = -3

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