3(x-4)-2=5x-2

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Solution for 3(x-4)-2=5x-2 equation:


Simplifying
3(x + -4) + -2 = 5x + -2

Reorder the terms:
3(-4 + x) + -2 = 5x + -2
(-4 * 3 + x * 3) + -2 = 5x + -2
(-12 + 3x) + -2 = 5x + -2

Reorder the terms:
-12 + -2 + 3x = 5x + -2

Combine like terms: -12 + -2 = -14
-14 + 3x = 5x + -2

Reorder the terms:
-14 + 3x = -2 + 5x

Solving
-14 + 3x = -2 + 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.
-14 + 3x + -5x = -2 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-14 + -2x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-14 + -2x = -2 + 0
-14 + -2x = -2

Add '14' to each side of the equation.
-14 + 14 + -2x = -2 + 14

Combine like terms: -14 + 14 = 0
0 + -2x = -2 + 14
-2x = -2 + 14

Combine like terms: -2 + 14 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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