2-(5+3a)=7(4+a)

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Solution for 2-(5+3a)=7(4+a) equation:


Simplifying
2 + -1(5 + 3a) = 7(4 + a)
2 + (5 * -1 + 3a * -1) = 7(4 + a)
2 + (-5 + -3a) = 7(4 + a)

Combine like terms: 2 + -5 = -3
-3 + -3a = 7(4 + a)
-3 + -3a = (4 * 7 + a * 7)
-3 + -3a = (28 + 7a)

Solving
-3 + -3a = 28 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
-3 + -3a + -7a = 28 + 7a + -7a

Combine like terms: -3a + -7a = -10a
-3 + -10a = 28 + 7a + -7a

Combine like terms: 7a + -7a = 0
-3 + -10a = 28 + 0
-3 + -10a = 28

Add '3' to each side of the equation.
-3 + 3 + -10a = 28 + 3

Combine like terms: -3 + 3 = 0
0 + -10a = 28 + 3
-10a = 28 + 3

Combine like terms: 28 + 3 = 31
-10a = 31

Divide each side by '-10'.
a = -3.1

Simplifying
a = -3.1

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