6x+24=13x-35

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Solution for 6x+24=13x-35 equation:


Simplifying
6x + 24 = 13x + -35

Reorder the terms:
24 + 6x = 13x + -35

Reorder the terms:
24 + 6x = -35 + 13x

Solving
24 + 6x = -35 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
24 + 6x + -13x = -35 + 13x + -13x

Combine like terms: 6x + -13x = -7x
24 + -7x = -35 + 13x + -13x

Combine like terms: 13x + -13x = 0
24 + -7x = -35 + 0
24 + -7x = -35

Add '-24' to each side of the equation.
24 + -24 + -7x = -35 + -24

Combine like terms: 24 + -24 = 0
0 + -7x = -35 + -24
-7x = -35 + -24

Combine like terms: -35 + -24 = -59
-7x = -59

Divide each side by '-7'.
x = 8.428571429

Simplifying
x = 8.428571429

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