Property 1
First Degree Equations
A linear equation in one variable has the form \(ax+b=0\), where \(a\) and \(b\) are constants and \(a\neq0\), the value of \(x\) satisfies the equation which is named as the root of the equation, and the set of all consisting roots of the equation are known as the solution set of the equation.
\(x=\samefrac{-b}{a}\quad\longrightarrow\) The root of the equation
\(\left\{\samefrac{-b}{a}\right\}\quad\longrightarrow\) The symbolic representation of the solution set of the equation (SS)
1.
\(2x-8=4\)
\(\Rightarrow x=?\)
2.
\(3x-8=x+2\)
\(\Rightarrow x=?\)
3.
\(4x-2-x=5x-10\)
\(\Rightarrow x=?\)
4.
\(5x-2x-7=x-3\)
\(\Rightarrow x=?\)
5.
\(-2-\left(-8\right)-11x=13x-42\)
\(\Rightarrow x=?\)
6.
\(7x-3\left(x-1\right)+5=-\left(-6x\right)+2\)
\(\Rightarrow x=?\)
7.
\(3x-2x+1=-2x-x+9\)
\(\Rightarrow x=?\)
8.
\(2\left(x-1\right)-\left(x+2\right)=3x-6\)
\(\Rightarrow x=?\)
9.
\(4x-3\left(x+1\right)=7x-4x+2\)
\(\Rightarrow x=?\)
10.
\(2\left(a-1\right)+2\left(a+2\right)=3a-6\)
\(\Rightarrow a=?\)
11.
\(3\left(1-x\right)+2\left(3-2x\right)=2\)
\(\Rightarrow x=?\)
12.
\(5\left(7-x\right)+6\left(x+2\right)=28\)
\(\Rightarrow x=?\)
13.
\(-2\left(x+1\right)-4\left(x-3\right)=3\left(x+1\right)\)
\(\Rightarrow x=?\)
14.
\(6\left(x-3\right)-3\left(2x+1\right)=2x-3\)
\(\Rightarrow x=?\)
15.
\(2x+3-2\left(x-4\right)=3x-1\)
\(\Rightarrow x=?\)