3(x-4)+6=5(x-5)+1

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Solution for 3(x-4)+6=5(x-5)+1 equation:


Simplifying
3(x + -4) + 6 = 5(x + -5) + 1

Reorder the terms:
3(-4 + x) + 6 = 5(x + -5) + 1
(-4 * 3 + x * 3) + 6 = 5(x + -5) + 1
(-12 + 3x) + 6 = 5(x + -5) + 1

Reorder the terms:
-12 + 6 + 3x = 5(x + -5) + 1

Combine like terms: -12 + 6 = -6
-6 + 3x = 5(x + -5) + 1

Reorder the terms:
-6 + 3x = 5(-5 + x) + 1
-6 + 3x = (-5 * 5 + x * 5) + 1
-6 + 3x = (-25 + 5x) + 1

Reorder the terms:
-6 + 3x = -25 + 1 + 5x

Combine like terms: -25 + 1 = -24
-6 + 3x = -24 + 5x

Solving
-6 + 3x = -24 + 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 + 3x + -5x = -24 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-6 + -2x = -24 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -2x = -24 + 0
-6 + -2x = -24

Add '6' to each side of the equation.
-6 + 6 + -2x = -24 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -24 + 6
-2x = -24 + 6

Combine like terms: -24 + 6 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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