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2\times 1x-8=3\times 1x-36
Multiply both sides of the equation by 4, the least common multiple of 2,4.
2x-8=3\times 1x-36
Multiply 2 and 1 to get 2.
2x-8=3x-36
Multiply 3 and 1 to get 3.
2x-8-3x=-36
Subtract 3x from both sides.
-x-8=-36
Combine 2x and -3x to get -x.
-x=-36+8
Add 8 to both sides.
-x=-28
Add -36 and 8 to get -28.
x=28
Multiply both sides by -1.