Solve x + 7 - (8x)/3 = 17/6 - (5x)/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

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

Solve for x

$x=-5$

Steps for Solving Linear Equation

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

$$6x+42-2\times 8x=17-3\times 5x$$

Multiply $-2$ and $8$ to get $-16$.

$$6x+42-16x=17-3\times 5x$$

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

$$-10x+42=17-3\times 5x$$

Multiply $-3$ and $5$ to get $-15$.

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

Add $15x$ to both sides.

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

Combine $-10x$ and $15x$ to get $5x$.

$$5x+42=17$$

Subtract $42$ from both sides.

$$5x=17-42$$

Subtract $42$ from $17$ to get $-25$.

$$5x=-25$$

Divide both sides by $5$.

$$x=\frac{-25}{5}$$

Divide $-25$ by $5$ to get $-5$.

$$x=-5$$