2=7(x+7)-2x

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


Simplifying
2 = 7(x + 7) + -2x

Reorder the terms:
2 = 7(7 + x) + -2x
2 = (7 * 7 + x * 7) + -2x
2 = (49 + 7x) + -2x

Combine like terms: 7x + -2x = 5x
2 = 49 + 5x

Solving
2 = 49 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
2 + -5x = 49 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -5x = 49 + 0
2 + -5x = 49

Add '-2' to each side of the equation.
2 + -2 + -5x = 49 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 49 + -2
-5x = 49 + -2

Combine like terms: 49 + -2 = 47
-5x = 47

Divide each side by '-5'.
x = -9.4

Simplifying
x = -9.4

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