2x-1=-4(x-5)+9

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Solution for 2x-1=-4(x-5)+9 equation:


Simplifying
2x + -1 = -4(x + -5) + 9

Reorder the terms:
-1 + 2x = -4(x + -5) + 9

Reorder the terms:
-1 + 2x = -4(-5 + x) + 9
-1 + 2x = (-5 * -4 + x * -4) + 9
-1 + 2x = (20 + -4x) + 9

Reorder the terms:
-1 + 2x = 20 + 9 + -4x

Combine like terms: 20 + 9 = 29
-1 + 2x = 29 + -4x

Solving
-1 + 2x = 29 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-1 + 2x + 4x = 29 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-1 + 6x = 29 + -4x + 4x

Combine like terms: -4x + 4x = 0
-1 + 6x = 29 + 0
-1 + 6x = 29

Add '1' to each side of the equation.
-1 + 1 + 6x = 29 + 1

Combine like terms: -1 + 1 = 0
0 + 6x = 29 + 1
6x = 29 + 1

Combine like terms: 29 + 1 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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