Solve 8 * (6x + 1)/3 * 1 = (x - 3)/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

$$8\frac{6x+1}{3}*1=\frac{x-3}{6}$$

Solve for x

$x=-\frac{1}{5}=-0.2$

Steps for Solving Linear Equation

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

$$16\left(6x+1\right)\times 1=x-3$$

Multiply $16$ and $1$ to get $16$.

$$16\left(6x+1\right)=x-3$$

Use the distributive property to multiply $16$ by $6x+1$.

$$96x+16=x-3$$

Subtract $x$ from both sides.

$$96x+16-x=-3$$

Combine $96x$ and $-x$ to get $95x$.

$$95x+16=-3$$

Subtract $16$ from both sides.

$$95x=-3-16$$

Subtract $16$ from $-3$ to get $-19$.

$$95x=-19$$

Divide both sides by $95$.

$$x=\frac{-19}{95}$$

Reduce the fraction $\frac{-19}{95}$ to lowest terms by extracting and canceling out $19$.

$$x=-\frac{1}{5}$$