5x+2=x-5

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Solution for 5x+2=x-5 equation:


Simplifying
5x + 2 = x + -5

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

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

Solving
2 + 5x = -5 + x

Solving for variable 'x'.

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

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

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

Combine like terms: x + -1x = 0
2 + 4x = -5 + 0
2 + 4x = -5

Add '-2' to each side of the equation.
2 + -2 + 4x = -5 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = -5 + -2
4x = -5 + -2

Combine like terms: -5 + -2 = -7
4x = -7

Divide each side by '4'.
x = -1.75

Simplifying
x = -1.75

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