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2x+3x-120=4x+96
Multiply both sides of the equation by 12, the least common multiple of 6,4,3.
5x-120=4x+96
Combine 2x and 3x to get 5x.
5x-120-4x=96
Subtract 4x from both sides.
x-120=96
Combine 5x and -4x to get x.
x=96+120
Add 120 to both sides.
x=216
Add 96 and 120 to get 216.