Solve for x
x = \frac{135}{4} = 33\frac{3}{4} = 33.75
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1080=3\times 5x+6x+3\times 3x+2x
Multiply both sides of the equation by 6, the least common multiple of 2,3.
1080=15x+6x+9x+2x
Multiply 3 and 5 to get 15. Multiply 3 and 3 to get 9.
1080=21x+9x+2x
Combine 15x and 6x to get 21x.
1080=30x+2x
Combine 21x and 9x to get 30x.
1080=32x
Combine 30x and 2x to get 32x.
32x=1080
Swap sides so that all variable terms are on the left hand side.
x=\frac{1080}{32}
Divide both sides by 32.
x=\frac{135}{4}
Reduce the fraction \frac{1080}{32} to lowest terms by extracting and canceling out 8.
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