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

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


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

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

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

Combine like terms: 6x + 3x = 9x
-36 + 72x = 30 + 9x

Solving
-36 + 72x = 30 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-36 + 72x + -9x = 30 + 9x + -9x

Combine like terms: 72x + -9x = 63x
-36 + 63x = 30 + 9x + -9x

Combine like terms: 9x + -9x = 0
-36 + 63x = 30 + 0
-36 + 63x = 30

Add '36' to each side of the equation.
-36 + 36 + 63x = 30 + 36

Combine like terms: -36 + 36 = 0
0 + 63x = 30 + 36
63x = 30 + 36

Combine like terms: 30 + 36 = 66
63x = 66

Divide each side by '63'.
x = 1.047619048

Simplifying
x = 1.047619048

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