Math Question: 1/2 (4x-1)=5/2+x

Hello! This a linear equation as the highest power (exponent) of the variable is 1. Using our knowledge of PEMDAS we are able to multiply 1/2 or .5 by 4x-1 (the whole expression) which would give us 2x-1/2 We need to rewrite the equation being 2x-.5 = 5/2 or 2.5 + x which the x is assumed to be a 1 Then you would combine like terms which are the terms with or without a variable. So you could add .5 (1/2) to 2.5 (5/2) and get 6/2 which is 3 Lets rewrite the equation and we get 2x= 3 + x then subtract x (with the invisible 1) and you get x = 3 which is your answer! Best of luck, Dilan Desir
Answered On 07/07/2020 23:16

Hello! So this is a great example of a linear equation that we can identify as an equation with whose variables highest power (exponent) is one. This means we can solve this by applying PEMDAS! First you look in the parentheses, can you simplify anything? Well in this case no! So you would use 1/2 with the Distributive Property --> leaving the expression in the parentheses as 2x-1/2 So rewrite the whole equation (expression with an equal sign) 2x-1/2=5/2+x [Remember x has an invisible 1 in front of it] add 1/2 to both sides [Addition property of equality] The new equation is 2x=6/2 + x subtract 2x-x [subtraction property of equality] leaving us with x = 6/2 or 3! Best of luck, Dilan Desir
Answered On 07/07/2020 23:29