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

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


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

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

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

Combine like terms: -14 + 7 = -7
-7 + 2x = 2x + -7(7 + -1x)
-7 + 2x = 2x + (7 * -7 + -1x * -7)
-7 + 2x = 2x + (-49 + 7x)

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

Combine like terms: 2x + 7x = 9x
-7 + 2x = -49 + 9x

Solving
-7 + 2x = -49 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-7 + 2x + -9x = -49 + 9x + -9x

Combine like terms: 2x + -9x = -7x
-7 + -7x = -49 + 9x + -9x

Combine like terms: 9x + -9x = 0
-7 + -7x = -49 + 0
-7 + -7x = -49

Add '7' to each side of the equation.
-7 + 7 + -7x = -49 + 7

Combine like terms: -7 + 7 = 0
0 + -7x = -49 + 7
-7x = -49 + 7

Combine like terms: -49 + 7 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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