3(x-4)-2=5x

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


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

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

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

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

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

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

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

Add '14' to each side of the equation.
-14 + 14 + -2x = 0 + 14

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

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

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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