13x+10=16x-24

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Solution for 13x+10=16x-24 equation:


Simplifying
13x + 10 = 16x + -24

Reorder the terms:
10 + 13x = 16x + -24

Reorder the terms:
10 + 13x = -24 + 16x

Solving
10 + 13x = -24 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
10 + 13x + -16x = -24 + 16x + -16x

Combine like terms: 13x + -16x = -3x
10 + -3x = -24 + 16x + -16x

Combine like terms: 16x + -16x = 0
10 + -3x = -24 + 0
10 + -3x = -24

Add '-10' to each side of the equation.
10 + -10 + -3x = -24 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -24 + -10
-3x = -24 + -10

Combine like terms: -24 + -10 = -34
-3x = -34

Divide each side by '-3'.
x = 11.33333333

Simplifying
x = 11.33333333

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