Solve -9-4(x-2)=-6(-4x-x)+4

$$- 9 - 4 ( x - 2 ) = - 6 ( - 4 x - x ) + 4$$

Solve for x

$$x=-\frac{5}{34}\approx -0.147058824$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by x-2.

$$-9-4x+8=-6\left(-4x-x\right)+4$$

Add -9 and 8 to get -1.

$$-1-4x=-6\left(-4x-x\right)+4$$

Combine -4x and -x to get -5x.

$$-1-4x=-6\left(-5\right)x+4$$

Multiply -6 and -5 to get 30.

$$-1-4x=30x+4$$

Subtract 30x from both sides.

$$-1-4x-30x=4$$

Combine -4x and -30x to get -34x.

$$-1-34x=4$$

Add 1 to both sides.

$$-34x=4+1$$

Add 4 and 1 to get 5.

$$-34x=5$$

Divide both sides by -34.

$$x=\frac{5}{-34}$$

Fraction \frac{5}{-34} can be rewritten as -\frac{5}{34} by extracting the negative sign.

$$x=-\frac{5}{34}$$