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

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


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

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

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

Multiply 3 * 6
18(-4 + x) = 5(x + -1) + 1
(-4 * 18 + x * 18) = 5(x + -1) + 1
(-72 + 18x) = 5(x + -1) + 1

Reorder the terms:
-72 + 18x = 5(-1 + x) + 1
-72 + 18x = (-1 * 5 + x * 5) + 1
-72 + 18x = (-5 + 5x) + 1

Reorder the terms:
-72 + 18x = -5 + 1 + 5x

Combine like terms: -5 + 1 = -4
-72 + 18x = -4 + 5x

Solving
-72 + 18x = -4 + 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.
-72 + 18x + -5x = -4 + 5x + -5x

Combine like terms: 18x + -5x = 13x
-72 + 13x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
-72 + 13x = -4 + 0
-72 + 13x = -4

Add '72' to each side of the equation.
-72 + 72 + 13x = -4 + 72

Combine like terms: -72 + 72 = 0
0 + 13x = -4 + 72
13x = -4 + 72

Combine like terms: -4 + 72 = 68
13x = 68

Divide each side by '13'.
x = 5.230769231

Simplifying
x = 5.230769231

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