7a*3(4*4)-5=2a+3a(2*20)+3

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Solution for 7a*3(4*4)-5=2a+3a(2*20)+3 equation:


Simplifying
7a * 3(4 * 4) + -5 = 2a + 3a(2 * 20) + 3

Multiply 4 * 4
7a * 3(16) + -5 = 2a + 3a(2 * 20) + 3

Reorder the terms for easier multiplication:
7 * 3 * 16a + -5 = 2a + 3a(2 * 20) + 3

Multiply 7 * 3
21 * 16a + -5 = 2a + 3a(2 * 20) + 3

Multiply 21 * 16
336a + -5 = 2a + 3a(2 * 20) + 3

Reorder the terms:
-5 + 336a = 2a + 3a(2 * 20) + 3

Multiply 2 * 20
-5 + 336a = 2a + 3a(40) + 3

Reorder the terms for easier multiplication:
-5 + 336a = 2a + 3 * 40a + 3

Multiply 3 * 40
-5 + 336a = 2a + 120a + 3

Reorder the terms:
-5 + 336a = 3 + 2a + 120a

Combine like terms: 2a + 120a = 122a
-5 + 336a = 3 + 122a

Solving
-5 + 336a = 3 + 122a

Solving for variable 'a'.

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

Add '-122a' to each side of the equation.
-5 + 336a + -122a = 3 + 122a + -122a

Combine like terms: 336a + -122a = 214a
-5 + 214a = 3 + 122a + -122a

Combine like terms: 122a + -122a = 0
-5 + 214a = 3 + 0
-5 + 214a = 3

Add '5' to each side of the equation.
-5 + 5 + 214a = 3 + 5

Combine like terms: -5 + 5 = 0
0 + 214a = 3 + 5
214a = 3 + 5

Combine like terms: 3 + 5 = 8
214a = 8

Divide each side by '214'.
a = 0.03738317757

Simplifying
a = 0.03738317757

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