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10\left(x+10\right)+260=13x
Multiply both sides of the equation by 260, the least common multiple of 26,20.
10x+100+260=13x
Use the distributive property to multiply 10 by x+10.
10x+360=13x
Add 100 and 260 to get 360.
10x+360-13x=0
Subtract 13x from both sides.
-3x+360=0
Combine 10x and -13x to get -3x.
-3x=-360
Subtract 360 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-360}{-3}
Divide both sides by -3.
x=120
Divide -360 by -3 to get 120.