# How many solutions does the equation 3x + 6 = -1 - 3 + 4x have?

**Solution:**

The general form of a linear equation in one variable is Ax + B = 0.

Here A is the coefficient of x, x is the variable, and B is the constant term.

The coefficient and the constant term should be segregated to find the final solution of this linear equation.

Given, the equation is 3x + 6 = -1 - 3 + 4x

3x + 6 = -4 + 4x

Grouping of common terms,

4x - 3x = 6 + 4

x = 10

Therefore, the solution is x = 10.

Example:** How many solutions does the equation 3y + 10 = -11 - 3 + 4y have?**

**Solution:**

The general form of a linear equation in one variable is Ax + B = 0.

Here A is the coefficient of x, x is the variable, and B is the constant term.

The coefficient and the constant term should be segregated to find the final solution of this linear equation.

Given, the equation is 3y + 10 = -11 - 3 + 4y

3y + 10 = -14 + 4y

Grouping of common terms,

4y - 3y = 10 + 14

y = 24

Therefore, the solution is y = 24.

## How many solutions does the equation 3x + 6 = -1 - 3 + 4x have?

**Summary:**

The equation 3x + 6= -1 - 3 + 4x has one solution i.e., x = 10.

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