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

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.

$7x+7\cdot 1-3x=4x+7$

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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