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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