Answer
The following are the steps in solving a linear equation:
(1) Distribute any coefficients in front of any parentheses. Multiply the coefficient by all terms in the parentheses.
(2) Combine like terms on each side of the equal sign.
(3) Move all constants to one side of the equation and have the term/s with a variable on the other side.
(4) Divide both sides of the equation by the coefficient of the variable
Work Step by Step
The following are the steps in solving a linear equation:
(1) Distribute any coefficients in front of any parentheses. Multiply the coefficient by all terms in the parentheses.
(2) Combine like terms on each side of the equal sign.
(3) Move all constants to one side of the equation and have the term/s with a variable on the other side.
(4) Divide both sides of the equation by the coefficient of the variable
Example:
Solve $2x+3(x-4)=7x$
Solution:
Step (1):
$2x+3(x)-3(4)=7x$
$2x+3x-12=7x$
Step (20:
$5x-12=7x$
Step (3):
$5x-12-7x=7x-7x$
$-2x-12=0$
$-2x-12+12=0+12$
$-2x=12$
Step (4):
$\frac{-2x}{-2}=\frac{12}{-2}$
$x=-6$
