4(x+9)=2x-1

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


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

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

Reorder the terms:
36 + 4x = -1 + 2x

Solving
36 + 4x = -1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
36 + 4x + -2x = -1 + 2x + -2x

Combine like terms: 4x + -2x = 2x
36 + 2x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
36 + 2x = -1 + 0
36 + 2x = -1

Add '-36' to each side of the equation.
36 + -36 + 2x = -1 + -36

Combine like terms: 36 + -36 = 0
0 + 2x = -1 + -36
2x = -1 + -36

Combine like terms: -1 + -36 = -37
2x = -37

Divide each side by '2'.
x = -18.5

Simplifying
x = -18.5

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