Solve (2x-1)-(5(x+3))/(6)=(x+5)/(2)-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

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

Solve for x

$x=3$

Steps for Solving Linear Equation

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

$$12x-6-5\left(x+3\right)=3\left(x+5\right)-24$$

Use the distributive property to multiply $-5$ by $x+3$.

$$12x-6-5x-15=3\left(x+5\right)-24$$

Combine $12x$ and $-5x$ to get $7x$.

$$7x-6-15=3\left(x+5\right)-24$$

Subtract $15$ from $-6$ to get $-21$.

$$7x-21=3\left(x+5\right)-24$$

Use the distributive property to multiply $3$ by $x+5$.

$$7x-21=3x+15-24$$

Subtract $24$ from $15$ to get $-9$.

$$7x-21=3x-9$$

Subtract $3x$ from both sides.

$$7x-21-3x=-9$$

Combine $7x$ and $-3x$ to get $4x$.

$$4x-21=-9$$

Add $21$ to both sides.

$$4x=-9+21$$

Add $-9$ and $21$ to get $12$.

$$4x=12$$

Divide both sides by $4$.

$$x=\frac{12}{4}$$

Divide $12$ by $4$ to get $3$.

$$x=3$$