Solve 5x-3(2x+9)=11x-(4-7x)

$$5x-3(2x+9)=11x-(4-7x)$$

Solve for x

$$x = -\frac{23}{19} = -1\frac{4}{19} \approx -1.210526316$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 2x+9.

$$5x-6x-27=11x-\left(4-7x\right)$$

Combine 5x and -6x to get -x.

$$-x-27=11x-\left(4-7x\right)$$

To find the opposite of 4-7x, find the opposite of each term.

$$-x-27=11x-4-\left(-7x\right)$$

The opposite of -7x is 7x.

$$-x-27=11x-4+7x$$

Combine 11x and 7x to get 18x.

$$-x-27=18x-4$$

Subtract 18x from both sides.

$$-x-27-18x=-4$$

Combine -x and -18x to get -19x.

$$-19x-27=-4$$

Add 27 to both sides.

$$-19x=-4+27$$

Add -4 and 27 to get 23.

$$-19x=23$$

Divide both sides by -19.

$$x=\frac{23}{-19}$$

Fraction \frac{23}{-19} can be rewritten as -\frac{23}{19} by extracting the negative sign.

$$x=-\frac{23}{19}$$