36(2x-1)=6(x+5)+3

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Solution for 36(2x-1)=6(x+5)+3 equation: 


Simplifying
36(2x + -1) = 6(x + 5) + 3

Reorder the terms:
36(-1 + 2x) = 6(x + 5) + 3
(-1 * 36 + 2x * 36) = 6(x + 5) + 3
(-36 + 72x) = 6(x + 5) + 3

Reorder the terms:
-36 + 72x = 6(5 + x) + 3
-36 + 72x = (5 * 6 + x * 6) + 3
-36 + 72x = (30 + 6x) + 3

Reorder the terms:
-36 + 72x = 30 + 3 + 6x

Combine like terms: 30 + 3 = 33
-36 + 72x = 33 + 6x

Solving
-36 + 72x = 33 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-36 + 72x + -6x = 33 + 6x + -6x

Combine like terms: 72x + -6x = 66x
-36 + 66x = 33 + 6x + -6x

Combine like terms: 6x + -6x = 0
-36 + 66x = 33 + 0
-36 + 66x = 33

Add '36' to each side of the equation.
-36 + 36 + 66x = 33 + 36

Combine like terms: -36 + 36 = 0
0 + 66x = 33 + 36
66x = 33 + 36

Combine like terms: 33 + 36 = 69
66x = 69

Divide each side by '66'.
x = 1.045454545

Simplifying
x = 1.045454545

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