x+3=5x-15

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Solution for x+3=5x-15 equation:


Simplifying
x + 3 = 5x + -15

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

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

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

Combine like terms: x + -5x = -4x
3 + -4x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -4x = -15 + 0
3 + -4x = -15

Add '-3' to each side of the equation.
3 + -3 + -4x = -15 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = -15 + -3
-4x = -15 + -3

Combine like terms: -15 + -3 = -18
-4x = -18

Divide each side by '-4'.
x = 4.5

Simplifying
x = 4.5

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