Solve x + 7 - 8 * x/3 = 17/6 - 5/2 | 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

$$x+7-8\frac{x}{3}=\frac{17}{6}-\frac{5}{2}$$

Solve for x

$x=4$

Steps for Solving Linear Equation

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

$$6\left(x+7\right)-16x=17-15$$

Use the distributive property to multiply $6$ by $x+7$.

$$6x+42-16x=17-15$$

Combine $6x$ and $-16x$ to get $-10x$.

$$-10x+42=17-15$$

Subtract $15$ from $17$ to get $2$.

$$-10x+42=2$$

Subtract $42$ from both sides.

$$-10x=2-42$$

Subtract $42$ from $2$ to get $-40$.

$$-10x=-40$$

Divide both sides by $-10$.

$$x=\frac{-40}{-10}$$

Divide $-40$ by $-10$ to get $4$.

$$x=4$$