5(x+12a)+1=25a+11

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Solution for 5(x+12a)+1=25a+11 equation:


Simplifying
5(x + 12a) + 1 = 25a + 11

Reorder the terms:
5(12a + x) + 1 = 25a + 11
(12a * 5 + x * 5) + 1 = 25a + 11
(60a + 5x) + 1 = 25a + 11

Reorder the terms:
1 + 60a + 5x = 25a + 11

Reorder the terms:
1 + 60a + 5x = 11 + 25a

Solving
1 + 60a + 5x = 11 + 25a

Solving for variable 'a'.

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

Add '-25a' to each side of the equation.
1 + 60a + -25a + 5x = 11 + 25a + -25a

Combine like terms: 60a + -25a = 35a
1 + 35a + 5x = 11 + 25a + -25a

Combine like terms: 25a + -25a = 0
1 + 35a + 5x = 11 + 0
1 + 35a + 5x = 11

Add '-1' to each side of the equation.
1 + 35a + -1 + 5x = 11 + -1

Reorder the terms:
1 + -1 + 35a + 5x = 11 + -1

Combine like terms: 1 + -1 = 0
0 + 35a + 5x = 11 + -1
35a + 5x = 11 + -1

Combine like terms: 11 + -1 = 10
35a + 5x = 10

Add '-5x' to each side of the equation.
35a + 5x + -5x = 10 + -5x

Combine like terms: 5x + -5x = 0
35a + 0 = 10 + -5x
35a = 10 + -5x

Divide each side by '35'.
a = 0.2857142857 + -0.1428571429x

Simplifying
a = 0.2857142857 + -0.1428571429x

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