x+5=-4x+15

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Solution for x+5=-4x+15 equation:


Simplifying
x + 5 = -4x + 15

Reorder the terms:
5 + x = -4x + 15

Reorder the terms:
5 + x = 15 + -4x

Solving
5 + x = 15 + -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.
5 + x + 4x = 15 + -4x + 4x

Combine like terms: x + 4x = 5x
5 + 5x = 15 + -4x + 4x

Combine like terms: -4x + 4x = 0
5 + 5x = 15 + 0
5 + 5x = 15

Add '-5' to each side of the equation.
5 + -5 + 5x = 15 + -5

Combine like terms: 5 + -5 = 0
0 + 5x = 15 + -5
5x = 15 + -5

Combine like terms: 15 + -5 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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