6x+36=x+4(2x+3)

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Solution for 6x+36=x+4(2x+3) equation:


Simplifying
6x + 36 = x + 4(2x + 3)

Reorder the terms:
36 + 6x = x + 4(2x + 3)

Reorder the terms:
36 + 6x = x + 4(3 + 2x)
36 + 6x = x + (3 * 4 + 2x * 4)
36 + 6x = x + (12 + 8x)

Reorder the terms:
36 + 6x = 12 + x + 8x

Combine like terms: x + 8x = 9x
36 + 6x = 12 + 9x

Solving
36 + 6x = 12 + 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 + 6x + -9x = 12 + 9x + -9x

Combine like terms: 6x + -9x = -3x
36 + -3x = 12 + 9x + -9x

Combine like terms: 9x + -9x = 0
36 + -3x = 12 + 0
36 + -3x = 12

Add '-36' to each side of the equation.
36 + -36 + -3x = 12 + -36

Combine like terms: 36 + -36 = 0
0 + -3x = 12 + -36
-3x = 12 + -36

Combine like terms: 12 + -36 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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