7=6(x-4)-5

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Solution for 7=6(x-4)-5 equation:


Simplifying
7 = 6(x + -4) + -5

Reorder the terms:
7 = 6(-4 + x) + -5
7 = (-4 * 6 + x * 6) + -5
7 = (-24 + 6x) + -5

Reorder the terms:
7 = -24 + -5 + 6x

Combine like terms: -24 + -5 = -29
7 = -29 + 6x

Solving
7 = -29 + 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.
7 + -6x = -29 + 6x + -6x

Combine like terms: 6x + -6x = 0
7 + -6x = -29 + 0
7 + -6x = -29

Add '-7' to each side of the equation.
7 + -7 + -6x = -29 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = -29 + -7
-6x = -29 + -7

Combine like terms: -29 + -7 = -36
-6x = -36

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

Simplifying
x = 6

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