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

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


Simplifying
x + -1(5 + 3x) = 3(x + -2)
x + (5 * -1 + 3x * -1) = 3(x + -2)
x + (-5 + -3x) = 3(x + -2)

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

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

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

Solving
-5 + -2x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-5 + -2x + -3x = -6 + 3x + -3x

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

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

Add '5' to each side of the equation.
-5 + 5 + -5x = -6 + 5

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

Combine like terms: -6 + 5 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

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