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2\times 72=3\left(43+x\right)
Multiply both sides of the equation by 120, the least common multiple of 60,40.
144=3\left(43+x\right)
Multiply 2 and 72 to get 144.
144=129+3x
Use the distributive property to multiply 3 by 43+x.
129+3x=144
Swap sides so that all variable terms are on the left hand side.
3x=144-129
Subtract 129 from both sides.
3x=15
Subtract 129 from 144 to get 15.
x=\frac{15}{3}
Divide both sides by 3.
x=5
Divide 15 by 3 to get 5.