2(2x-1)=-x-47

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Solution for 2(2x-1)=-x-47 equation:


Simplifying
2(2x + -1) = -1x + -47

Reorder the terms:
2(-1 + 2x) = -1x + -47
(-1 * 2 + 2x * 2) = -1x + -47
(-2 + 4x) = -1x + -47

Reorder the terms:
-2 + 4x = -47 + -1x

Solving
-2 + 4x = -47 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-2 + 4x + x = -47 + -1x + x

Combine like terms: 4x + x = 5x
-2 + 5x = -47 + -1x + x

Combine like terms: -1x + x = 0
-2 + 5x = -47 + 0
-2 + 5x = -47

Add '2' to each side of the equation.
-2 + 2 + 5x = -47 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = -47 + 2
5x = -47 + 2

Combine like terms: -47 + 2 = -45
5x = -45

Divide each side by '5'.
x = -9

Simplifying
x = -9

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