if AC =2x+3 and DB = 4x-1, find x.

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AC = 2x + 3DB = 4x - 1                                 GivenSet AC = DBThen substitute the values that you are given.2x + 3 = 4x - 1Then move your like terms to their own respective sides.2x + 3 + 1 = 4x - 1 + 1The +1-1 will cancel which now leaves you with2x + 4 = 4xMove the x-value from the left side of the equation to the right side.2x - 2x + 4 = 4x - 2x4 = 2xDivide the 2x by 2 to get your variable to have a coefficient of 1 and divide the 4 by 2 to have equivalency throughout the equation.4/2 = 2x/2x = 2