Solve for x
x = \frac{149}{13} = 11\frac{6}{13} \approx 11.461538462
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2\left(5x-7\right)+3\left(x-5\right)=120
Multiply both sides of the equation by 24, the least common multiple of 12,8.
10x-14+3\left(x-5\right)=120
Use the distributive property to multiply 2 by 5x-7.
10x-14+3x-15=120
Use the distributive property to multiply 3 by x-5.
13x-14-15=120
Combine 10x and 3x to get 13x.
13x-29=120
Subtract 15 from -14 to get -29.
13x=120+29
Add 29 to both sides.
13x=149
Add 120 and 29 to get 149.
x=\frac{149}{13}
Divide both sides by 13.
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