5(3x-2)-(x-6)=

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Solution for 5(3x-2)-(x-6)= equation:


Simplifying
5(3x + -2) + -1(x + -6) = 0

Reorder the terms:
5(-2 + 3x) + -1(x + -6) = 0
(-2 * 5 + 3x * 5) + -1(x + -6) = 0
(-10 + 15x) + -1(x + -6) = 0

Reorder the terms:
-10 + 15x + -1(-6 + x) = 0
-10 + 15x + (-6 * -1 + x * -1) = 0
-10 + 15x + (6 + -1x) = 0

Reorder the terms:
-10 + 6 + 15x + -1x = 0

Combine like terms: -10 + 6 = -4
-4 + 15x + -1x = 0

Combine like terms: 15x + -1x = 14x
-4 + 14x = 0

Solving
-4 + 14x = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 14x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 14x = 0 + 4
14x = 0 + 4

Combine like terms: 0 + 4 = 4
14x = 4

Divide each side by '14'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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