Solve 4x-7-(x+4)=3x+4-(2x-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

$$4x-7-(x+4)=3x+4-(2x-1$$

Solve for x

$x=8$

Steps for Solving Linear Equation

To find the opposite of $x+4$, find the opposite of each term.

$$4x-7-x-4=3x+4-\left(2x-1\right)$$

Combine $4x$ and $-x$ to get $3x$.

$$3x-7-4=3x+4-\left(2x-1\right)$$

Subtract $4$ from $-7$ to get $-11$.

$$3x-11=3x+4-\left(2x-1\right)$$

To find the opposite of $2x-1$, find the opposite of each term.

$$3x-11=3x+4-2x-\left(-1\right)$$

The opposite of $-1$ is $1$.

$$3x-11=3x+4-2x+1$$

Combine $3x$ and $-2x$ to get $x$.

$$3x-11=x+4+1$$

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

$$3x-11=x+5$$

Subtract $x$ from both sides.

$$3x-11-x=5$$

Combine $3x$ and $-x$ to get $2x$.

$$2x-11=5$$

Add $11$ to both sides.

$$2x=5+11$$

Add $5$ and $11$ to get $16$.

$$2x=16$$

Divide both sides by $2$.

$$x=\frac{16}{2}$$

Divide $16$ by $2$ to get $8$.

$$x=8$$