3x=5(x-2)-4

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


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

Reorder the terms:
3x = 5(-2 + x) + -4
3x = (-2 * 5 + x * 5) + -4
3x = (-10 + 5x) + -4

Reorder the terms:
3x = -10 + -4 + 5x

Combine like terms: -10 + -4 = -14
3x = -14 + 5x

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

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

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

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

Simplifying
x = 7

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