5x+15=24x-30

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Solution for 5x+15=24x-30 equation:


Simplifying
5x + 15 = 24x + -30

Reorder the terms:
15 + 5x = 24x + -30

Reorder the terms:
15 + 5x = -30 + 24x

Solving
15 + 5x = -30 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
15 + 5x + -24x = -30 + 24x + -24x

Combine like terms: 5x + -24x = -19x
15 + -19x = -30 + 24x + -24x

Combine like terms: 24x + -24x = 0
15 + -19x = -30 + 0
15 + -19x = -30

Add '-15' to each side of the equation.
15 + -15 + -19x = -30 + -15

Combine like terms: 15 + -15 = 0
0 + -19x = -30 + -15
-19x = -30 + -15

Combine like terms: -30 + -15 = -45
-19x = -45

Divide each side by '-19'.
x = 2.368421053

Simplifying
x = 2.368421053

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