5(x-1)=-2x+37

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Solution for 5(x-1)=-2x+37 equation:


Simplifying
5(x + -1) = -2x + 37

Reorder the terms:
5(-1 + x) = -2x + 37
(-1 * 5 + x * 5) = -2x + 37
(-5 + 5x) = -2x + 37

Reorder the terms:
-5 + 5x = 37 + -2x

Solving
-5 + 5x = 37 + -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.
-5 + 5x + 2x = 37 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-5 + 7x = 37 + -2x + 2x

Combine like terms: -2x + 2x = 0
-5 + 7x = 37 + 0
-5 + 7x = 37

Add '5' to each side of the equation.
-5 + 5 + 7x = 37 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = 37 + 5
7x = 37 + 5

Combine like terms: 37 + 5 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6

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