7(x-7)+2=9-(x+6)

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Solution for 7(x-7)+2=9-(x+6) equation:


Simplifying
7(x + -7) + 2 = 9 + -1(x + 6)

Reorder the terms:
7(-7 + x) + 2 = 9 + -1(x + 6)
(-7 * 7 + x * 7) + 2 = 9 + -1(x + 6)
(-49 + 7x) + 2 = 9 + -1(x + 6)

Reorder the terms:
-49 + 2 + 7x = 9 + -1(x + 6)

Combine like terms: -49 + 2 = -47
-47 + 7x = 9 + -1(x + 6)

Reorder the terms:
-47 + 7x = 9 + -1(6 + x)
-47 + 7x = 9 + (6 * -1 + x * -1)
-47 + 7x = 9 + (-6 + -1x)

Combine like terms: 9 + -6 = 3
-47 + 7x = 3 + -1x

Solving
-47 + 7x = 3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-47 + 7x + x = 3 + -1x + x

Combine like terms: 7x + x = 8x
-47 + 8x = 3 + -1x + x

Combine like terms: -1x + x = 0
-47 + 8x = 3 + 0
-47 + 8x = 3

Add '47' to each side of the equation.
-47 + 47 + 8x = 3 + 47

Combine like terms: -47 + 47 = 0
0 + 8x = 3 + 47
8x = 3 + 47

Combine like terms: 3 + 47 = 50
8x = 50

Divide each side by '8'.
x = 6.25

Simplifying
x = 6.25

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