6x-25=5(x-6)-3

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Solution for 6x-25=5(x-6)-3 equation:


Simplifying
6x + -25 = 5(x + -6) + -3

Reorder the terms:
-25 + 6x = 5(x + -6) + -3

Reorder the terms:
-25 + 6x = 5(-6 + x) + -3
-25 + 6x = (-6 * 5 + x * 5) + -3
-25 + 6x = (-30 + 5x) + -3

Reorder the terms:
-25 + 6x = -30 + -3 + 5x

Combine like terms: -30 + -3 = -33
-25 + 6x = -33 + 5x

Solving
-25 + 6x = -33 + 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.
-25 + 6x + -5x = -33 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-25 + 1x = -33 + 5x + -5x

Combine like terms: 5x + -5x = 0
-25 + 1x = -33 + 0
-25 + 1x = -33

Add '25' to each side of the equation.
-25 + 25 + 1x = -33 + 25

Combine like terms: -25 + 25 = 0
0 + 1x = -33 + 25
1x = -33 + 25

Combine like terms: -33 + 25 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8

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