6x-2-3(x-4)=13

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Solution for 6x-2-3(x-4)=13 equation:


Simplifying
6x + -2 + -3(x + -4) = 13

Reorder the terms:
6x + -2 + -3(-4 + x) = 13
6x + -2 + (-4 * -3 + x * -3) = 13
6x + -2 + (12 + -3x) = 13

Reorder the terms:
-2 + 12 + 6x + -3x = 13

Combine like terms: -2 + 12 = 10
10 + 6x + -3x = 13

Combine like terms: 6x + -3x = 3x
10 + 3x = 13

Solving
10 + 3x = 13

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 3x = 13 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 13 + -10
3x = 13 + -10

Combine like terms: 13 + -10 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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