(5+3a)-(10a-15)=(-22)

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Solution for (5+3a)-(10a-15)=(-22) equation:


Simplifying
(5 + 3a) + -1(10a + -15) = (-22)

Remove parenthesis around (5 + 3a)
5 + 3a + -1(10a + -15) = (-22)

Reorder the terms:
5 + 3a + -1(-15 + 10a) = (-22)
5 + 3a + (-15 * -1 + 10a * -1) = (-22)
5 + 3a + (15 + -10a) = (-22)

Reorder the terms:
5 + 15 + 3a + -10a = (-22)

Combine like terms: 5 + 15 = 20
20 + 3a + -10a = (-22)

Combine like terms: 3a + -10a = -7a
20 + -7a = (-22)
20 + -7a = -22

Solving
20 + -7a = -22

Solving for variable 'a'.

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

Add '-20' to each side of the equation.
20 + -20 + -7a = -22 + -20

Combine like terms: 20 + -20 = 0
0 + -7a = -22 + -20
-7a = -22 + -20

Combine like terms: -22 + -20 = -42
-7a = -42

Divide each side by '-7'.
a = 6

Simplifying
a = 6

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