6x-(5x+8)=2x-47

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Solution for 6x-(5x+8)=2x-47 equation:


Simplifying
6x + -1(5x + 8) = 2x + -47

Reorder the terms:
6x + -1(8 + 5x) = 2x + -47
6x + (8 * -1 + 5x * -1) = 2x + -47
6x + (-8 + -5x) = 2x + -47

Reorder the terms:
-8 + 6x + -5x = 2x + -47

Combine like terms: 6x + -5x = 1x
-8 + 1x = 2x + -47

Reorder the terms:
-8 + 1x = -47 + 2x

Solving
-8 + 1x = -47 + 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.
-8 + 1x + -2x = -47 + 2x + -2x

Combine like terms: 1x + -2x = -1x
-8 + -1x = -47 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + -1x = -47 + 0
-8 + -1x = -47

Add '8' to each side of the equation.
-8 + 8 + -1x = -47 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = -47 + 8
-1x = -47 + 8

Combine like terms: -47 + 8 = -39
-1x = -39

Divide each side by '-1'.
x = 39

Simplifying
x = 39

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