7x-(8x+2)=2x-50

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Solution for 7x-(8x+2)=2x-50 equation:


Simplifying
7x + -1(8x + 2) = 2x + -50

Reorder the terms:
7x + -1(2 + 8x) = 2x + -50
7x + (2 * -1 + 8x * -1) = 2x + -50
7x + (-2 + -8x) = 2x + -50

Reorder the terms:
-2 + 7x + -8x = 2x + -50

Combine like terms: 7x + -8x = -1x
-2 + -1x = 2x + -50

Reorder the terms:
-2 + -1x = -50 + 2x

Solving
-2 + -1x = -50 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2 + -1x + -2x = -50 + 2x + -2x

Combine like terms: -1x + -2x = -3x
-2 + -3x = -50 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + -3x = -50 + 0
-2 + -3x = -50

Add '2' to each side of the equation.
-2 + 2 + -3x = -50 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = -50 + 2
-3x = -50 + 2

Combine like terms: -50 + 2 = -48
-3x = -48

Divide each side by '-3'.
x = 16

Simplifying
x = 16

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