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

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


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

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

Reorder the terms:
-6 + 2x + -4(-2 + x) = -2
-6 + 2x + (-2 * -4 + x * -4) = -2
-6 + 2x + (8 + -4x) = -2

Reorder the terms:
-6 + 8 + 2x + -4x = -2

Combine like terms: -6 + 8 = 2
2 + 2x + -4x = -2

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

Solving
2 + -2x = -2

Solving for variable 'x'.

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

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

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

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

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

Simplifying
x = 2

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