6=5(x-3)-14

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Solution for 6=5(x-3)-14 equation:


Simplifying
6 = 5(x + -3) + -14

Reorder the terms:
6 = 5(-3 + x) + -14
6 = (-3 * 5 + x * 5) + -14
6 = (-15 + 5x) + -14

Reorder the terms:
6 = -15 + -14 + 5x

Combine like terms: -15 + -14 = -29
6 = -29 + 5x

Solving
6 = -29 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + -5x = -29 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -5x = -29 + 0
6 + -5x = -29

Add '-6' to each side of the equation.
6 + -6 + -5x = -29 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -29 + -6
-5x = -29 + -6

Combine like terms: -29 + -6 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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