Solve (5x - 4)/6 = 4x + 1 - (3x + 10)/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

$$\frac{5x-4}{6}=4x+1-\frac{3x+10}{2}$$

Solve for x

$x=2$

Steps for Solving Linear Equation

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

$$5x-4=24x+6-3\left(3x+10\right)$$

Use the distributive property to multiply $-3$ by $3x+10$.

$$5x-4=24x+6-9x-30$$

Combine $24x$ and $-9x$ to get $15x$.

$$5x-4=15x+6-30$$

Subtract $30$ from $6$ to get $-24$.

$$5x-4=15x-24$$

Subtract $15x$ from both sides.

$$5x-4-15x=-24$$

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

$$-10x-4=-24$$

Add $4$ to both sides.

$$-10x=-24+4$$

Add $-24$ and $4$ to get $-20$.

$$-10x=-20$$

Divide both sides by $-10$.

$$x=\frac{-20}{-10}$$

Divide $-20$ by $-10$ to get $2$.

$$x=2$$