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

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


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

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

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

Combine like terms: 3x + -5x = -2x
10 + -2x = -4 + 2x + -2

Reorder the terms:
10 + -2x = -4 + -2 + 2x

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

Solving
10 + -2x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
10 + -2x + -2x = -6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
10 + -4x = -6 + 0
10 + -4x = -6

Add '-10' to each side of the equation.
10 + -10 + -4x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = -6 + -10
-4x = -6 + -10

Combine like terms: -6 + -10 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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