Question

How do you solve $x + 3 = 7x + 15$ ?

Answer 1

Hint: To solve this question you should know about the Linear equation. It is an equation of first order. These equations are defined for lines in the coordinate system. An equation for a straight line is called a linear equation. For example: $ax + m = 0$

Complete step-by-step solution:
To solve this problem we should know about how to solve linear equations.
As given in the question there is a variable on both sides. So, we try to keep variables on one hand side.
Step1: Subtract $7x$ from both sides. We get,
 $\Rightarrow x + 3 - x = 7x + 15 - x$
 $ \Rightarrow 6x + 15 = 3$
Step 2: Subtract $15$ from both side:
 $ \Rightarrow 6x + 15 - 15 = 3 - 15$
 $ \Rightarrow 6x = - 12$
Step 3: divide both side by $6$ :
 $ \Rightarrow \dfrac{{6x}}{6} = \dfrac{{ - 12}}{6}$ s
 $ \Rightarrow x = - 2$

Hence, the value of $x = - 2$ .

Note: Linear equation is used to solve word problems. Mostly the age and relationship problems. Linear equations can be written for one or more variables. It is used to find the relationship between a given group of data in the analytics and statistics field.