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First Degree Equation Examples

First Degree Equation Example 1

Question
Solve the following equation:
3 ( x - 1 ) - 2 ( 3 x - 1 ) = 2 ( 3 - x )
Solution
3(x - 1) - 2(3x - 1) = 2(3 - x)
remove parenthesis
3x - 3 - 6x + 2 = 6 - 2x
move variables to the left side of the equation and move numbers to the right side of the equation
3x - 6x + 2x = 3 - 2 + 6
-x = 7 (divide by -1 on both side of the equation)
x = -7
therefore, x = -7 is the solution of given equation.

Substitute the x = -7 into the original equation, we will find that the left side of the equation is equal to the right side of the equation. Then x = -7 is satisfy the equation. So x = -7 is the solution of the given equation.

First Degree Equation Example 2

Question
(x - 1)/3 - (x + 1)/2 = 1
solve this equation
Solution
(x - 1)/3 - (x + 1)/2 = 1
both side of the equation multiply 6 to remove denominator
6 [(x - 1)/3 - (x + 1)/2] = 6 × 1
6 (x - 1)/3 - 6 (x + 1)/2 = 6
2 (x - 1) - 3 (x + 1) = 6
2x - 2 - 3x - 3 = 6
keep the variables in the left side of the equation and move the numbers to the right side of the equation
2x - 3x = 2 + 3 + 6
-x = 11
both sides divide by -1
x = - 11
so x = -1 is the solution of the given equation