5(3x-2)-(x-6)=10

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Solution for 5(3x-2)-(x-6)=10 equation:


Simplifying
5(3x + -2) + -1(x + -6) = 10

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

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

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

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

Combine like terms: 15x + -1x = 14x
-4 + 14x = 10

Solving
-4 + 14x = 10

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 = 10 + 4

Combine like terms: -4 + 4 = 0
0 + 14x = 10 + 4
14x = 10 + 4

Combine like terms: 10 + 4 = 14
14x = 14

Divide each side by '14'.
x = 1

Simplifying
x = 1

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