Solve -5(x+1)+3x=6-(4x-3) | 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

$$-5(x+1)+3x=6-(4x-3)$$

Solve for x

$x=7$

Steps for Solving Linear Equation

Use the distributive property to multiply $-5$ by $x+1$.

$$-5x-5+3x=6-\left(4x-3\right)$$

Combine $-5x$ and $3x$ to get $-2x$.

$$-2x-5=6-\left(4x-3\right)$$

To find the opposite of $4x-3$, find the opposite of each term.

$$-2x-5=6-4x-\left(-3\right)$$

The opposite of $-3$ is $3$.

$$-2x-5=6-4x+3$$

Add $6$ and $3$ to get $9$.

$$-2x-5=9-4x$$

Add $4x$ to both sides.

$$-2x-5+4x=9$$

Combine $-2x$ and $4x$ to get $2x$.

$$2x-5=9$$

Add $5$ to both sides.

$$2x=9+5$$

Add $9$ and $5$ to get $14$.

$$2x=14$$

Divide both sides by $2$.

$$x=\frac{14}{2}$$

Divide $14$ by $2$ to get $7$.

$$x=7$$