7x-(2x+2)=9x-42

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Solution for 7x-(2x+2)=9x-42 equation:


Simplifying
7x + -1(2x + 2) = 9x + -42

Reorder the terms:
7x + -1(2 + 2x) = 9x + -42
7x + (2 * -1 + 2x * -1) = 9x + -42
7x + (-2 + -2x) = 9x + -42

Reorder the terms:
-2 + 7x + -2x = 9x + -42

Combine like terms: 7x + -2x = 5x
-2 + 5x = 9x + -42

Reorder the terms:
-2 + 5x = -42 + 9x

Solving
-2 + 5x = -42 + 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.
-2 + 5x + -9x = -42 + 9x + -9x

Combine like terms: 5x + -9x = -4x
-2 + -4x = -42 + 9x + -9x

Combine like terms: 9x + -9x = 0
-2 + -4x = -42 + 0
-2 + -4x = -42

Add '2' to each side of the equation.
-2 + 2 + -4x = -42 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = -42 + 2
-4x = -42 + 2

Combine like terms: -42 + 2 = -40
-4x = -40

Divide each side by '-4'.
x = 10

Simplifying
x = 10

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