5(x-5)=-2x+45

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Solution for 5(x-5)=-2x+45 equation: 


Simplifying
5(x + -5) = -2x + 45

Reorder the terms:
5(-5 + x) = -2x + 45
(-5 * 5 + x * 5) = -2x + 45
(-25 + 5x) = -2x + 45

Reorder the terms:
-25 + 5x = 45 + -2x

Solving
-25 + 5x = 45 + -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.
-25 + 5x + 2x = 45 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-25 + 7x = 45 + -2x + 2x

Combine like terms: -2x + 2x = 0
-25 + 7x = 45 + 0
-25 + 7x = 45

Add '25' to each side of the equation.
-25 + 25 + 7x = 45 + 25

Combine like terms: -25 + 25 = 0
0 + 7x = 45 + 25
7x = 45 + 25

Combine like terms: 45 + 25 = 70
7x = 70

Divide each side by '7'.
x = 10

Simplifying
x = 10

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