Solve -4(3-x)=11(4x-3)

$$- 4 ( 3 - x ) = 11 ( 4 x - 3 )$$

Solve for x

$$x=\frac{21}{40}=0.525$$

Steps for Solving Linear Equation

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

$$-12+4x=11\left(4x-3\right)$$

Use the distributive property to multiply 11 by 4x-3.

$$-12+4x=44x-33$$

Subtract 44x from both sides.

$$-12+4x-44x=-33$$

Combine 4x and -44x to get -40x.

$$-12-40x=-33$$

Add 12 to both sides.

$$-40x=-33+12$$

Add -33 and 12 to get -21.

$$-40x=-21$$

Divide both sides by -40.

$$x=\frac{-21}{-40}$$

Fraction \frac{-21}{-40} can be simplified to \frac{21}{40} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{21}{40}$$