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

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

Solve for x

$x=-11$

Steps for Solving Linear Equation

Use the distributive property to multiply $3$ by $x-5$.

$$3x-15+4=5\left(x+1\right)+6$$

Add $-15$ and $4$ to get $-11$.

$$3x-11=5\left(x+1\right)+6$$

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

$$3x-11=5x+5+6$$

Add $5$ and $6$ to get $11$.

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

Subtract $5x$ from both sides.

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

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

$$-2x-11=11$$

Add $11$ to both sides.

$$-2x=11+11$$

Add $11$ and $11$ to get $22$.

$$-2x=22$$

Divide both sides by $-2$.

$$x=\frac{22}{-2}$$

Divide $22$ by $-2$ to get $-11$.

$$x=-11$$