Question 269157: Solve -2(x-7)-140=5x-7(x+8).
Answer by persian52(161)   (Show Source):
You can put this solution on YOUR website! -2(x-7)-140=5x-7(x+8)
Since x is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
5x-7(x+8)=-2(x-7)-140
Multiply -2 by each term inside the parentheses.
5x-7(x+8)=(-2x+14)-140
Subtract 140 from 14 to get -126.
5x-7(x+8)=-2x-126
Multiply -7 by each term inside the parentheses.
5x+(-7x-56)=-2x-126
Since 5x and -7x are like terms, add -7x to 5x to get -2x.
-2x-56=-2x-126
Since -2x contains the variable to solve for, move it to the left-hand side of the equation by adding 2x to both sides.
-2x-56+2x=-126
Since -2x and 2x are like terms, subtract 2x from -2x to get 0.
0-56=-126
Remove the 0 from the polynomial; adding or subtracting 0 does not change the value of the expression.
-56=-126
Since -56≠-126, there are no solutions.
Answer: No Solution
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