simplify the equation using cross
multiplication: 3(x-5)=2(x-4)
distribute 3 through the parentheses: 3x-15=2(x-4)
distribute 2 through the parentheses: 3x-15=2x-8
move the variable to the left-hand side and change its sign: 13x-15-2x=-8
move the constant to the right-hand side and change its sign: 3x-2x=-8+15
collect like terms: x=-8+15
calculate the sum: x=7
