Solve - 8x + 4 = 3[x - 3] - 15 | 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

$$-8x+4=3[x-3]-15$$

Solve for x

$x = \frac{28}{11} = 2\frac{6}{11} \approx 2.545454545$

Steps for Solving Linear Equation

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

$$-8x+4=3x-9-15$$

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

$$-8x+4=3x-24$$

Subtract $3x$ from both sides.

$$-8x+4-3x=-24$$

Combine $-8x$ and $-3x$ to get $-11x$.

$$-11x+4=-24$$

Subtract $4$ from both sides.

$$-11x=-24-4$$

Subtract $4$ from $-24$ to get $-28$.

$$-11x=-28$$

Divide both sides by $-11$.

$$x=\frac{-28}{-11}$$

Fraction $\frac{-28}{-11}$ can be simplified to $\frac{28}{11}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{28}{11}$$