Solve 3(9+4x)=6+5(2x)

$$3 ( 9 + 4 x ) = 6 + 5 ( 2 x )$$

Solve for x

$$x = -\frac{21}{2} = -10\frac{1}{2} = -10.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 9+4x.

$$27+12x=6+5\times 2x$$

Multiply 5 and 2 to get 10.

$$27+12x=6+10x$$

Subtract 10x from both sides.

$$27+12x-10x=6$$

Combine 12x and -10x to get 2x.

$$27+2x=6$$

Subtract 27 from both sides.

$$2x=6-27$$

Subtract 27 from 6 to get -21.

$$2x=-21$$

Divide both sides by 2.

$$x=\frac{-21}{2}$$

Fraction \frac{-21}{2} can be rewritten as -\frac{21}{2} by extracting the negative sign.

$$x=-\frac{21}{2}$$