Solve 10x-(21-4x)=-11(5-2x)

$$10 x - ( 21 - 4 x ) = - 11 ( 5 - 2 x )$$

Solve for x

$$x = \frac{17}{4} = 4\frac{1}{4} = 4.25$$

Steps for Solving Linear Equation

To find the opposite of 21-4x, find the opposite of each term.

$$10x-21-\left(-4x\right)=-11\left(5-2x\right)$$

The opposite of -4x is 4x.

$$10x-21+4x=-11\left(5-2x\right)$$

Combine 10x and 4x to get 14x.

$$14x-21=-11\left(5-2x\right)$$

Use the distributive property to multiply -11 by 5-2x.

$$14x-21=-55+22x$$

Subtract 22x from both sides.

$$14x-21-22x=-55$$

Combine 14x and -22x to get -8x.

$$-8x-21=-55$$

Add 21 to both sides.

$$-8x=-55+21$$

Add -55 and 21 to get -34.

$$-8x=-34$$

Divide both sides by -8.

$$x=\frac{-34}{-8}$$

Reduce the fraction \frac{-34}{-8} to lowest terms by extracting and canceling out -2.

$$x=\frac{17}{4}$$