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

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

Solve for x

$x=\frac{2}{3}\approx 0.666666667$

Steps for Solving Linear Equation

Use the distributive property to multiply $-3$ by $x-4$.

$$-3x+12-5=3\left(x+1\right)$$

Subtract $5$ from $12$ to get $7$.

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

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

$$-3x+7=3x+3$$

Subtract $3x$ from both sides.

$$-3x+7-3x=3$$

Combine $-3x$ and $-3x$ to get $-6x$.

$$-6x+7=3$$

Subtract $7$ from both sides.

$$-6x=3-7$$

Subtract $7$ from $3$ to get $-4$.

$$-6x=-4$$

Divide both sides by $-6$.

$$x=\frac{-4}{-6}$$

Reduce the fraction $\frac{-4}{-6}$ to lowest terms by extracting and canceling out $-2$.

$$x=\frac{2}{3}$$