Solve....The solution of the linear equation5x –3(2x + 1) = 21+x
Answers
Answer:
Simplifying
5x + -3(2x + 1) = 21 + x
Reorder the terms:
5x + -3(1 + 2x) = 21 + x
5x + (1 * -3 + 2x * -3) = 21 + x
5x + (-3 + -6x) = 21 + x
Reorder the terms:
-3 + 5x + -6x = 21 + x
Combine like terms: 5x + -6x = -1x
-3 + -1x = 21 + x
Solving
-3 + -1x = 21 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
-3 + -1x + -1x = 21 + x + -1x
Combine like terms: -1x + -1x = -2x
-3 + -2x = 21 + x + -1x
Combine like terms: x + -1x = 0
-3 + -2x = 21 + 0
-3 + -2x = 21
Add '3' to each side of the equation.
-3 + 3 + -2x = 21 + 3
Combine like terms: -3 + 3 = 0
0 + -2x = 21 + 3
-2x = 21 + 3
Combine like terms: 21 + 3 = 24
-2x = 24
Divide each side by '-2'.
x = -12
Simplifying
x = -12
hope this us helpfull for you