7x-(2x+2)=8x-38

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Solution for 7x-(2x+2)=8x-38 equation:


Simplifying
7x + -1(2x + 2) = 8x + -38

Reorder the terms:
7x + -1(2 + 2x) = 8x + -38
7x + (2 * -1 + 2x * -1) = 8x + -38
7x + (-2 + -2x) = 8x + -38

Reorder the terms:
-2 + 7x + -2x = 8x + -38

Combine like terms: 7x + -2x = 5x
-2 + 5x = 8x + -38

Reorder the terms:
-2 + 5x = -38 + 8x

Solving
-2 + 5x = -38 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-2 + 5x + -8x = -38 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-2 + -3x = -38 + 8x + -8x

Combine like terms: 8x + -8x = 0
-2 + -3x = -38 + 0
-2 + -3x = -38

Add '2' to each side of the equation.
-2 + 2 + -3x = -38 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = -38 + 2
-3x = -38 + 2

Combine like terms: -38 + 2 = -36
-3x = -36

Divide each side by '-3'.
x = 12

Simplifying
x = 12

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