Solve for x
x = \frac{20 \sqrt{2} + 8}{9} \approx 4.031585694
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4\left(x-2\right)+5x=20\sqrt{2}
Multiply both sides of the equation by 20, the least common multiple of 5,4.
4x-8+5x=20\sqrt{2}
Use the distributive property to multiply 4 by x-2.
9x-8=20\sqrt{2}
Combine 4x and 5x to get 9x.
9x=20\sqrt{2}+8
Add 8 to both sides.
\frac{9x}{9}=\frac{20\sqrt{2}+8}{9}
Divide both sides by 9.
x=\frac{20\sqrt{2}+8}{9}
Dividing by 9 undoes the multiplication by 9.
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