9x+1=(7x-2)+(3x+7)

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Solution for 9x+1=(7x-2)+(3x+7) equation:


Simplifying
9x + 1 = (7x + -2) + (3x + 7)

Reorder the terms:
1 + 9x = (7x + -2) + (3x + 7)

Reorder the terms:
1 + 9x = (-2 + 7x) + (3x + 7)

Remove parenthesis around (-2 + 7x)
1 + 9x = -2 + 7x + (3x + 7)

Reorder the terms:
1 + 9x = -2 + 7x + (7 + 3x)

Remove parenthesis around (7 + 3x)
1 + 9x = -2 + 7x + 7 + 3x

Reorder the terms:
1 + 9x = -2 + 7 + 7x + 3x

Combine like terms: -2 + 7 = 5
1 + 9x = 5 + 7x + 3x

Combine like terms: 7x + 3x = 10x
1 + 9x = 5 + 10x

Solving
1 + 9x = 5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
1 + 9x + -10x = 5 + 10x + -10x

Combine like terms: 9x + -10x = -1x
1 + -1x = 5 + 10x + -10x

Combine like terms: 10x + -10x = 0
1 + -1x = 5 + 0
1 + -1x = 5

Add '-1' to each side of the equation.
1 + -1 + -1x = 5 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 5 + -1
-1x = 5 + -1

Combine like terms: 5 + -1 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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