4(a+7)-8=5a-3

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Solution for 4(a+7)-8=5a-3 equation:


Simplifying
4(a + 7) + -8 = 5a + -3

Reorder the terms:
4(7 + a) + -8 = 5a + -3
(7 * 4 + a * 4) + -8 = 5a + -3
(28 + 4a) + -8 = 5a + -3

Reorder the terms:
28 + -8 + 4a = 5a + -3

Combine like terms: 28 + -8 = 20
20 + 4a = 5a + -3

Reorder the terms:
20 + 4a = -3 + 5a

Solving
20 + 4a = -3 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
20 + 4a + -5a = -3 + 5a + -5a

Combine like terms: 4a + -5a = -1a
20 + -1a = -3 + 5a + -5a

Combine like terms: 5a + -5a = 0
20 + -1a = -3 + 0
20 + -1a = -3

Add '-20' to each side of the equation.
20 + -20 + -1a = -3 + -20

Combine like terms: 20 + -20 = 0
0 + -1a = -3 + -20
-1a = -3 + -20

Combine like terms: -3 + -20 = -23
-1a = -23

Divide each side by '-1'.
a = 23

Simplifying
a = 23

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