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

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


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

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

Remove parenthesis around (2 + 2x)
2 + 2x + -1(9x + 6) = 7

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

Reorder the terms:
2 + -6 + 2x + -9x = 7

Combine like terms: 2 + -6 = -4
-4 + 2x + -9x = 7

Combine like terms: 2x + -9x = -7x
-4 + -7x = 7

Solving
-4 + -7x = 7

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + -7x = 7 + 4

Combine like terms: -4 + 4 = 0
0 + -7x = 7 + 4
-7x = 7 + 4

Combine like terms: 7 + 4 = 11
-7x = 11

Divide each side by '-7'.
x = -1.571428571

Simplifying
x = -1.571428571

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