15x+10=24x-42

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Solution for 15x+10=24x-42 equation:


Simplifying
15x + 10 = 24x + -42

Reorder the terms:
10 + 15x = 24x + -42

Reorder the terms:
10 + 15x = -42 + 24x

Solving
10 + 15x = -42 + 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.
10 + 15x + -24x = -42 + 24x + -24x

Combine like terms: 15x + -24x = -9x
10 + -9x = -42 + 24x + -24x

Combine like terms: 24x + -24x = 0
10 + -9x = -42 + 0
10 + -9x = -42

Add '-10' to each side of the equation.
10 + -10 + -9x = -42 + -10

Combine like terms: 10 + -10 = 0
0 + -9x = -42 + -10
-9x = -42 + -10

Combine like terms: -42 + -10 = -52
-9x = -52

Divide each side by '-9'.
x = 5.777777778

Simplifying
x = 5.777777778

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