Solve 5+8x-(9+4x)=-6+7x

$$5 + 8 x - ( 9 + 4 x ) = - 6 + 7 x$$

Solve for x

$$x=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

To find the opposite of 9+4x, find the opposite of each term.

$$5+8x-9-4x=-6+7x$$

Subtract 9 from 5 to get -4.

$$-4+8x-4x=-6+7x$$

Combine 8x and -4x to get 4x.

$$-4+4x=-6+7x$$

Subtract 7x from both sides.

$$-4+4x-7x=-6$$

Combine 4x and -7x to get -3x.

$$-4-3x=-6$$

Add 4 to both sides.

$$-3x=-6+4$$

Add -6 and 4 to get -2.

$$-3x=-2$$

Divide both sides by -3.

$$x=\frac{-2}{-3}$$

Fraction \frac{-2}{-3} can be simplified to \frac{2}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{2}{3}$$