Solve 2-3*[7+4*(5x-1)]=7*(3*8x)

$$2 - 3 \cdot [ 7 + 4 \cdot ( 5 x - 1 ) ] = 7 \cdot ( 3 \cdot 8 x )$$

Solve for x

$$x=-\frac{7}{228}\approx -0.030701754$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 5x-1.

$$2-3\left(7+20x-4\right)=7\times 3\times 8x$$

Subtract 4 from 7 to get 3.

$$2-3\left(3+20x\right)=7\times 3\times 8x$$

Use the distributive property to multiply -3 by 3+20x.

$$2-9-60x=7\times 3\times 8x$$

Subtract 9 from 2 to get -7.

$$-7-60x=7\times 3\times 8x$$

Multiply 7 and 3 to get 21.

$$-7-60x=21\times 8x$$

Multiply 21 and 8 to get 168.

$$-7-60x=168x$$

Subtract 168x from both sides.

$$-7-60x-168x=0$$

Combine -60x and -168x to get -228x.

$$-7-228x=0$$

Add 7 to both sides. Anything plus zero gives itself.

$$-228x=7$$

Divide both sides by -228.

$$x=\frac{7}{-228}$$

Fraction \frac{7}{-228} can be rewritten as -\frac{7}{228} by extracting the negative sign.

$$x=-\frac{7}{228}$$