Question

How do you solve \[2x+3=3x-4\] ?

Answer 1

Hint: Clearly it is the linear equation in one variable, for solving this just do simple algebraic operations. First, we need to keep the variable on one of the sides either on \[LHS\] or \[RHS\] and other constants on the other side that is the side opposite the variable side then algebraically add or subtract as the algebraic sign and then make the coefficient of variable unity and then finally we will get the value of variable \[x\].

Complete step by step solution:
Since it is clearly seen that the given equation is a linear equation in one variable
For simplifying, first made algebraic operations to keep the variable on a single side
\[\Rightarrow \] Subtract \[2x\] from both sides
\[\Rightarrow 2x+3-2x=3x-4-2x\]
The terms having variable \[x\] are alike so we can add or subtract them
\[\Rightarrow 3=x-4\]
Here the coefficient of a variable is already \[1\]
Now add \[4\] both sides
\[\Rightarrow 3+4=x-4+4\]
\[\Rightarrow 7=x\]

Hence the value of \[x\] is \[7\]

Note: During solving any equation either linear or any type keep in mind that we can add or subtract only like terms whose variable and degree both must be the same and what the operations we perform must be done on both sides otherwise the equation will change.