(x+2)+3x=4(9x-1)

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Solution for (x+2)+3x=4(9x-1) equation:


Simplifying
(x + 2) + 3x = 4(9x + -1)

Reorder the terms:
(2 + x) + 3x = 4(9x + -1)

Remove parenthesis around (2 + x)
2 + x + 3x = 4(9x + -1)

Combine like terms: x + 3x = 4x
2 + 4x = 4(9x + -1)

Reorder the terms:
2 + 4x = 4(-1 + 9x)
2 + 4x = (-1 * 4 + 9x * 4)
2 + 4x = (-4 + 36x)

Solving
2 + 4x = -4 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
2 + 4x + -36x = -4 + 36x + -36x

Combine like terms: 4x + -36x = -32x
2 + -32x = -4 + 36x + -36x

Combine like terms: 36x + -36x = 0
2 + -32x = -4 + 0
2 + -32x = -4

Add '-2' to each side of the equation.
2 + -2 + -32x = -4 + -2

Combine like terms: 2 + -2 = 0
0 + -32x = -4 + -2
-32x = -4 + -2

Combine like terms: -4 + -2 = -6
-32x = -6

Divide each side by '-32'.
x = 0.1875

Simplifying
x = 0.1875

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