Solve 3(x+1)+2=4(2x+1)+1 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$3(x+1)+2=4(2x+1)+1$$

Solve for x

$x=0$

Steps for Solving Linear Equation

Use the distributive property to multiply $3$ by $x+1$.

$$3x+3+2=4\left(2x+1\right)+1$$

Add $3$ and $2$ to get $5$.

$$3x+5=4\left(2x+1\right)+1$$

Use the distributive property to multiply $4$ by $2x+1$.

$$3x+5=8x+4+1$$

Add $4$ and $1$ to get $5$.

$$3x+5=8x+5$$

Subtract $8x$ from both sides.

$$3x+5-8x=5$$

Combine $3x$ and $-8x$ to get $-5x$.

$$-5x+5=5$$

Subtract $5$ from both sides.

$$-5x=5-5$$

Subtract $5$ from $5$ to get $0$.

$$-5x=0$$

Product of two numbers is equal to $0$ if at least one of them is $0$. Since $-5$ is not equal to $0$, $x$ must be equal to $0$.

$$x=0$$