Solve for x
x = \frac{290}{93} = 3\frac{11}{93} \approx 3.11827957
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13\left(x-10\right)+20\left(4x+5\right)=260
Multiply both sides of the equation by 260, the least common multiple of 20,13.
13x-130+20\left(4x+5\right)=260
Use the distributive property to multiply 13 by x-10.
13x-130+80x+100=260
Use the distributive property to multiply 20 by 4x+5.
93x-130+100=260
Combine 13x and 80x to get 93x.
93x-30=260
Add -130 and 100 to get -30.
93x=260+30
Add 30 to both sides.
93x=290
Add 260 and 30 to get 290.
x=\frac{290}{93}
Divide both sides by 93.
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