Solve the equation. Then state whether the equation

Answered question

2022-05-04

Solve the equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation.

 

4x+7=7(x+1)-3x

Answer & Explanation

alenahelenash

alenahelenash

Expert2022-06-05Added 556 answers

4x+7=7(x+1)-3x

Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.

7(x+1)-3x=4x+7

Simplify 7(x+1)-3x.

Apply the distributive property.

7x+71-3x=4x+7

Multiply 7 by 1.

7x+7-3x=4x+7

Subtract 3x from 7x.

4x+7=4x+7

Move all terms containing x to the left side of the equation.

Subtract 4x from both sides of the equation.

4x+7-4x=7

Combine the opposite terms in 4x+7-4x.

Subtract 4x from 4x.

0+7=7

Add 0 and 7.

7=7

Since 7=7, the equation will always be true for any value of x.

All real numbers

The result can be shown in multiple forms.

All real numbers

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