3x-10(x+2)=sqrt(13)-7x

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Solution for 3x-10(x+2)=sqrt(13)-7x equation:


Simplifying
3x + -10(x + 2) = sqrt(13) + -7x

Reorder the terms:
3x + -10(2 + x) = sqrt(13) + -7x
3x + (2 * -10 + x * -10) = sqrt(13) + -7x
3x + (-20 + -10x) = sqrt(13) + -7x

Reorder the terms:
-20 + 3x + -10x = sqrt(13) + -7x

Combine like terms: 3x + -10x = -7x
-20 + -7x = sqrt(13) + -7x

Reorder the terms for easier multiplication:
-20 + -7x = 13qrst + -7x

Add '7x' to each side of the equation.
-20 + -7x + 7x = 13qrst + -7x + 7x

Combine like terms: -7x + 7x = 0
-20 + 0 = 13qrst + -7x + 7x
-20 = 13qrst + -7x + 7x

Combine like terms: -7x + 7x = 0
-20 = 13qrst + 0
-20 = 13qrst

Solving
-20 = 13qrst

Solving for variable 'q'.

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

Add '-13qrst' to each side of the equation.
-20 + -13qrst = 13qrst + -13qrst

Combine like terms: 13qrst + -13qrst = 0
-20 + -13qrst = 0

Add '20' to each side of the equation.
-20 + 20 + -13qrst = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -13qrst = 0 + 20
-13qrst = 0 + 20

Combine like terms: 0 + 20 = 20
-13qrst = 20

Divide each side by '-13rst'.
q = -1.538461538r-1s-1t-1

Simplifying
q = -1.538461538r-1s-1t-1

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