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

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


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

Reorder the terms:
4(-2 + x) + -2(x + 3) = 2
(-2 * 4 + x * 4) + -2(x + 3) = 2
(-8 + 4x) + -2(x + 3) = 2

Reorder the terms:
-8 + 4x + -2(3 + x) = 2
-8 + 4x + (3 * -2 + x * -2) = 2
-8 + 4x + (-6 + -2x) = 2

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

Combine like terms: -8 + -6 = -14
-14 + 4x + -2x = 2

Combine like terms: 4x + -2x = 2x
-14 + 2x = 2

Solving
-14 + 2x = 2

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 2x = 2 + 14

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

Combine like terms: 2 + 14 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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