Solve -6*(-2x+3-4x)+20=5*(2-14x-5)

$$- 6 \cdot ( - 2 x + 3 - 4 x ) + 20 = 5 \cdot ( 2 - 14 x - 5 )$$

Solve for x

$$x=-\frac{17}{106}\approx -0.160377358$$

Steps for Solving Linear Equation

Combine -2x and -4x to get -6x.

$$-6\left(-6x+3\right)+20=5\left(2-14x-5\right)$$

Use the distributive property to multiply -6 by -6x+3.

$$36x-18+20=5\left(2-14x-5\right)$$

Add -18 and 20 to get 2.

$$36x+2=5\left(2-14x-5\right)$$

Subtract 5 from 2 to get -3.

$$36x+2=5\left(-3-14x\right)$$

Use the distributive property to multiply 5 by -3-14x.

$$36x+2=-15-70x$$

Add 70x to both sides.

$$36x+2+70x=-15$$

Combine 36x and 70x to get 106x.

$$106x+2=-15$$

Subtract 2 from both sides.

$$106x=-15-2$$

Subtract 2 from -15 to get -17.

$$106x=-17$$

Divide both sides by 106.

$$x=\frac{-17}{106}$$

Fraction \frac{-17}{106} can be rewritten as -\frac{17}{106} by extracting the negative sign.

$$x=-\frac{17}{106}$$