14-47=7(x-1)-5

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Solution for 14-47=7(x-1)-5 equation:


Simplifying
14 + -47 = 7(x + -1) + -5

Combine like terms: 14 + -47 = -33
-33 = 7(x + -1) + -5

Reorder the terms:
-33 = 7(-1 + x) + -5
-33 = (-1 * 7 + x * 7) + -5
-33 = (-7 + 7x) + -5

Reorder the terms:
-33 = -7 + -5 + 7x

Combine like terms: -7 + -5 = -12
-33 = -12 + 7x

Solving
-33 = -12 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-33 + -7x = -12 + 7x + -7x

Combine like terms: 7x + -7x = 0
-33 + -7x = -12 + 0
-33 + -7x = -12

Add '33' to each side of the equation.
-33 + 33 + -7x = -12 + 33

Combine like terms: -33 + 33 = 0
0 + -7x = -12 + 33
-7x = -12 + 33

Combine like terms: -12 + 33 = 21
-7x = 21

Divide each side by '-7'.
x = -3

Simplifying
x = -3

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