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

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


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

Reorder the terms:
2(4 + x) = -5x + 1
(4 * 2 + x * 2) = -5x + 1
(8 + 2x) = -5x + 1

Reorder the terms:
8 + 2x = 1 + -5x

Solving
8 + 2x = 1 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
8 + 2x + 5x = 1 + -5x + 5x

Combine like terms: 2x + 5x = 7x
8 + 7x = 1 + -5x + 5x

Combine like terms: -5x + 5x = 0
8 + 7x = 1 + 0
8 + 7x = 1

Add '-8' to each side of the equation.
8 + -8 + 7x = 1 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = 1 + -8
7x = 1 + -8

Combine like terms: 1 + -8 = -7
7x = -7

Divide each side by '7'.
x = -1

Simplifying
x = -1

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