6-10x=78-24x

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Solution for 6-10x=78-24x equation:


Simplifying
6 + -10x = 78 + -24x

Solving
6 + -10x = 78 + -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.
6 + -10x + 24x = 78 + -24x + 24x

Combine like terms: -10x + 24x = 14x
6 + 14x = 78 + -24x + 24x

Combine like terms: -24x + 24x = 0
6 + 14x = 78 + 0
6 + 14x = 78

Add '-6' to each side of the equation.
6 + -6 + 14x = 78 + -6

Combine like terms: 6 + -6 = 0
0 + 14x = 78 + -6
14x = 78 + -6

Combine like terms: 78 + -6 = 72
14x = 72

Divide each side by '14'.
x = 5.142857143

Simplifying
x = 5.142857143

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