49=2x+7(-x+2)

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Solution for 49=2x+7(-x+2) equation:


Simplifying
49 = 2x + 7(-1x + 2)

Reorder the terms:
49 = 2x + 7(2 + -1x)
49 = 2x + (2 * 7 + -1x * 7)
49 = 2x + (14 + -7x)

Reorder the terms:
49 = 14 + 2x + -7x

Combine like terms: 2x + -7x = -5x
49 = 14 + -5x

Solving
49 = 14 + -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.
49 + 5x = 14 + -5x + 5x

Combine like terms: -5x + 5x = 0
49 + 5x = 14 + 0
49 + 5x = 14

Add '-49' to each side of the equation.
49 + -49 + 5x = 14 + -49

Combine like terms: 49 + -49 = 0
0 + 5x = 14 + -49
5x = 14 + -49

Combine like terms: 14 + -49 = -35
5x = -35

Divide each side by '5'.
x = -7

Simplifying
x = -7

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