Solve 3-9*(4*x+2)=10+7*x

$$3 - 9 \cdot ( 4 \cdot x + 2 ) = 10 + 7 \cdot x$$

Solve for x

$$x=-\frac{25}{43}\approx -0.581395349$$

Steps for Solving Linear Equation

Use the distributive property to multiply -9 by 4x+2.

$$3-36x-18=10+7x$$

Subtract 18 from 3 to get -15.

$$-15-36x=10+7x$$

Subtract 7x from both sides.

$$-15-36x-7x=10$$

Combine -36x and -7x to get -43x.

$$-15-43x=10$$

Add 15 to both sides.

$$-43x=10+15$$

Add 10 and 15 to get 25.

$$-43x=25$$

Divide both sides by -43.

$$x=\frac{25}{-43}$$

Fraction \frac{25}{-43} can be rewritten as -\frac{25}{43} by extracting the negative sign.

$$x=-\frac{25}{43}$$