5x+10=107-8x

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Solution for 5x+10=107-8x equation:


Simplifying
5x + 10 = 107 + -8x

Reorder the terms:
10 + 5x = 107 + -8x

Solving
10 + 5x = 107 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
10 + 5x + 8x = 107 + -8x + 8x

Combine like terms: 5x + 8x = 13x
10 + 13x = 107 + -8x + 8x

Combine like terms: -8x + 8x = 0
10 + 13x = 107 + 0
10 + 13x = 107

Add '-10' to each side of the equation.
10 + -10 + 13x = 107 + -10

Combine like terms: 10 + -10 = 0
0 + 13x = 107 + -10
13x = 107 + -10

Combine like terms: 107 + -10 = 97
13x = 97

Divide each side by '13'.
x = 7.461538462

Simplifying
x = 7.461538462

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