-x+47=3(2x-5)-1

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Solution for -x+47=3(2x-5)-1 equation:


Simplifying
-1x + 47 = 3(2x + -5) + -1

Reorder the terms:
47 + -1x = 3(2x + -5) + -1

Reorder the terms:
47 + -1x = 3(-5 + 2x) + -1
47 + -1x = (-5 * 3 + 2x * 3) + -1
47 + -1x = (-15 + 6x) + -1

Reorder the terms:
47 + -1x = -15 + -1 + 6x

Combine like terms: -15 + -1 = -16
47 + -1x = -16 + 6x

Solving
47 + -1x = -16 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
47 + -1x + -6x = -16 + 6x + -6x

Combine like terms: -1x + -6x = -7x
47 + -7x = -16 + 6x + -6x

Combine like terms: 6x + -6x = 0
47 + -7x = -16 + 0
47 + -7x = -16

Add '-47' to each side of the equation.
47 + -47 + -7x = -16 + -47

Combine like terms: 47 + -47 = 0
0 + -7x = -16 + -47
-7x = -16 + -47

Combine like terms: -16 + -47 = -63
-7x = -63

Divide each side by '-7'.
x = 9

Simplifying
x = 9

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