Solve 4(3x+4)=3(2x-7)

$$4 ( 3 x + 4 ) = 3 ( 2 x - 7 )$$

Solve for x

$$x = -\frac{37}{6} = -6\frac{1}{6} \approx -6.166666667$$

Steps for Solving Linear Equation

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

$$12x+16=3\left(2x-7\right)$$

Use the distributive property to multiply 3 by 2x-7.

$$12x+16=6x-21$$

Subtract 6x from both sides.

$$12x+16-6x=-21$$

Combine 12x and -6x to get 6x.

$$6x+16=-21$$

Subtract 16 from both sides.

$$6x=-21-16$$

Subtract 16 from -21 to get -37.

$$6x=-37$$

Divide both sides by 6.

$$x=\frac{-37}{6}$$

Fraction \frac{-37}{6} can be rewritten as -\frac{37}{6} by extracting the negative sign.

$$x=-\frac{37}{6}$$