Question 25434: 5(x-4)=2(x+1)-7
Answer by bacos(9)   (Show Source):
You can put this solution on YOUR website! Simplifying
5(x + -4) = 2(x + 1) + -7
Reorder the terms:
5(-4 + x) = 2(x + 1) + -7
(-4 * 5 + x * 5) = 2(x + 1) + -7
(-20 + 5x) = 2(x + 1) + -7
Reorder the terms:
-20 + 5x = 2(1 + x) + -7
-20 + 5x = (1 * 2 + x * 2) + -7
-20 + 5x = (2 + 2x) + -7
Reorder the terms:
-20 + 5x = 2 + -7 + 2x
Combine like terms: 2 + -7 = -5
-20 + 5x = -5 + 2x
Solving
-20 + 5x = -5 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
-20 + 5x + -2x = -5 + 2x + -2x
Combine like terms: 5x + -2x = 3x
-20 + 3x = -5 + 2x + -2x
Combine like terms: 2x + -2x = 0
-20 + 3x = -5 + 0
-20 + 3x = -5
Add '20' to each side of the equation.
-20 + 20 + 3x = -5 + 20
Combine like terms: -20 + 20 = 0
0 + 3x = -5 + 20
3x = -5 + 20
Combine like terms: -5 + 20 = 15
3x = 15
Divide each side by '3'.
x = 5
Simplifying
x = 5
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