Solve 10-6*(5*x+9)=6+7*x

$$10 - 6 \cdot ( 5 \cdot x + 9 ) = 6 + 7 \cdot x$$

Solve for x

$$x = -\frac{50}{37} = -1\frac{13}{37} \approx -1.351351351$$

Steps for Solving Linear Equation

Use the distributive property to multiply -6 by 5x+9.

$$10-30x-54=6+7x$$

Subtract 54 from 10 to get -44.

$$-44-30x=6+7x$$

Subtract 7x from both sides.

$$-44-30x-7x=6$$

Combine -30x and -7x to get -37x.

$$-44-37x=6$$

Add 44 to both sides.

$$-37x=6+44$$

Add 6 and 44 to get 50.

$$-37x=50$$

Divide both sides by -37.

$$x=\frac{50}{-37}$$

Fraction \frac{50}{-37} can be rewritten as -\frac{50}{37} by extracting the negative sign.

$$x=-\frac{50}{37}$$