Solve 5(2x - 3) - 1 = 3(4x + 1) - 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

$$5(2x-3)-1=3(4x+1)-2$$

Solve for x

$x = -\frac{17}{2} = -8\frac{1}{2} = -8.5$

Steps for Solving Linear Equation

Use the distributive property to multiply $5$ by $2x-3$.

$$10x-15-1=3\left(4x+1\right)-2$$

Subtract $1$ from $-15$ to get $-16$.

$$10x-16=3\left(4x+1\right)-2$$

Use the distributive property to multiply $3$ by $4x+1$.

$$10x-16=12x+3-2$$

Subtract $2$ from $3$ to get $1$.

$$10x-16=12x+1$$

Subtract $12x$ from both sides.

$$10x-16-12x=1$$

Combine $10x$ and $-12x$ to get $-2x$.

$$-2x-16=1$$

Add $16$ to both sides.

$$-2x=1+16$$

Add $1$ and $16$ to get $17$.

$$-2x=17$$

Divide both sides by $-2$.

$$x=\frac{17}{-2}$$

Fraction $\frac{17}{-2}$ can be rewritten as $-\frac{17}{2}$ by extracting the negative sign.

$$x=-\frac{17}{2}$$