14-43=6(x-1)-5

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Solution for 14-43=6(x-1)-5 equation:


Simplifying
14 + -43 = 6(x + -1) + -5

Combine like terms: 14 + -43 = -29
-29 = 6(x + -1) + -5

Reorder the terms:
-29 = 6(-1 + x) + -5
-29 = (-1 * 6 + x * 6) + -5
-29 = (-6 + 6x) + -5

Reorder the terms:
-29 = -6 + -5 + 6x

Combine like terms: -6 + -5 = -11
-29 = -11 + 6x

Solving
-29 = -11 + 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.
-29 + -6x = -11 + 6x + -6x

Combine like terms: 6x + -6x = 0
-29 + -6x = -11 + 0
-29 + -6x = -11

Add '29' to each side of the equation.
-29 + 29 + -6x = -11 + 29

Combine like terms: -29 + 29 = 0
0 + -6x = -11 + 29
-6x = -11 + 29

Combine like terms: -11 + 29 = 18
-6x = 18

Divide each side by '-6'.
x = -3

Simplifying
x = -3

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