Solve ((x-1)/3=1/2x+4)(()/()) | 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

$$(x-1)/3=1/2x+4 \frac { } { }$$

Solve for x

$x=-32$

Steps for Solving Linear Equation

Multiply both sides of the equation by $6$, the least common multiple of $3,2$.

$$2\left(x-1\right)=3x+64\frac{1}{1}$$

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

$$2x-2=3x+64\frac{1}{1}$$

Anything divided by one gives itself.

$$2x-2=3x+641$$

Subtract $3x$ from both sides.

$$2x-2-3x=641$$

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

$$-x-2=641$$

Add $2$ to both sides.

$$-x=641+2$$

Divide both sides by $-1$.

$$\frac{-x}{-1}=\frac{32}{-1}$$

Dividing by $-1$ undoes the multiplication by $-1$.

$$x=\frac{32}{-1}$$

Divide $32$ by $-1$.

$$x=-32$$