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

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

Solve for x

$$x=5$$

Steps for Solving Linear Equation

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

$$6+8x+6=5\left(x+6\right)-3$$

Add 6 and 6 to get 12.

$$12+8x=5\left(x+6\right)-3$$

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

$$12+8x=5x+30-3$$

Subtract 3 from 30 to get 27.

$$12+8x=5x+27$$

Subtract 5x from both sides.

$$12+8x-5x=27$$

Combine 8x and -5x to get 3x.

$$12+3x=27$$

Subtract 12 from both sides.

$$3x=27-12$$

Subtract 12 from 27 to get 15.

$$3x=15$$

Divide both sides by 3.

$$x=\frac{15}{3}$$

Divide 15 by 3 to get 5.

$$x=5$$