7(7-2x)=37-2x

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Solution for 7(7-2x)=37-2x equation:


Simplifying
7(7 + -2x) = 37 + -2x
(7 * 7 + -2x * 7) = 37 + -2x
(49 + -14x) = 37 + -2x

Solving
49 + -14x = 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.
49 + -14x + 2x = 37 + -2x + 2x

Combine like terms: -14x + 2x = -12x
49 + -12x = 37 + -2x + 2x

Combine like terms: -2x + 2x = 0
49 + -12x = 37 + 0
49 + -12x = 37

Add '-49' to each side of the equation.
49 + -49 + -12x = 37 + -49

Combine like terms: 49 + -49 = 0
0 + -12x = 37 + -49
-12x = 37 + -49

Combine like terms: 37 + -49 = -12
-12x = -12

Divide each side by '-12'.
x = 1

Simplifying
x = 1

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