Solve 5*(2x+4)=12*(6+x)

$$5 \cdot ( 2 x + 4 ) = 12 \cdot ( 6 + x )$$

Solve for x

$$x=-26$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 2x+4.

$$10x+20=12\left(6+x\right)$$

Use the distributive property to multiply 12 by 6+x.

$$10x+20=72+12x$$

Subtract 12x from both sides.

$$10x+20-12x=72$$

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

$$-2x+20=72$$

Subtract 20 from both sides.

$$-2x=72-20$$

Subtract 20 from 72 to get 52.

$$-2x=52$$

Divide both sides by -2.

$$x=\frac{52}{-2}$$

Divide 52 by -2 to get -26.

$$x=-26$$