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

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


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

Reorder the terms:
3(-2 + x) + -5x = 4 + -5(x + -2)
(-2 * 3 + x * 3) + -5x = 4 + -5(x + -2)
(-6 + 3x) + -5x = 4 + -5(x + -2)

Combine like terms: 3x + -5x = -2x
-6 + -2x = 4 + -5(x + -2)

Reorder the terms:
-6 + -2x = 4 + -5(-2 + x)
-6 + -2x = 4 + (-2 * -5 + x * -5)
-6 + -2x = 4 + (10 + -5x)

Combine like terms: 4 + 10 = 14
-6 + -2x = 14 + -5x

Solving
-6 + -2x = 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.
-6 + -2x + 5x = 14 + -5x + 5x

Combine like terms: -2x + 5x = 3x
-6 + 3x = 14 + -5x + 5x

Combine like terms: -5x + 5x = 0
-6 + 3x = 14 + 0
-6 + 3x = 14

Add '6' to each side of the equation.
-6 + 6 + 3x = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 14 + 6
3x = 14 + 6

Combine like terms: 14 + 6 = 20
3x = 20

Divide each side by '3'.
x = 6.666666667

Simplifying
x = 6.666666667

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