Solve 2(1+x)=3(4+2x)+5

$$2 ( 1 + x ) = 3 ( 4 + 2 x ) + 5$$

Solve for x

$$x = -\frac{15}{4} = -3\frac{3}{4} = -3.75$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 1+x.

$$2+2x=3\left(4+2x\right)+5$$

Use the distributive property to multiply 3 by 4+2x.

$$2+2x=12+6x+5$$

Add 12 and 5 to get 17.

$$2+2x=17+6x$$

Subtract 6x from both sides.

$$2+2x-6x=17$$

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

$$2-4x=17$$

Subtract 2 from both sides.

$$-4x=17-2$$

Subtract 2 from 17 to get 15.

$$-4x=15$$

Divide both sides by -4.

$$x=\frac{15}{-4}$$

Fraction \frac{15}{-4} can be rewritten as -\frac{15}{4} by extracting the negative sign.

$$x=-\frac{15}{4}$$