(2x-3)*2-(x+3)*2=-23

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Solution for (2x-3)*2-(x+3)*2=-23 equation:


Simplifying
(2x + -3) * 2 + -1(x + 3) * 2 = -23

Reorder the terms:
(-3 + 2x) * 2 + -1(x + 3) * 2 = -23

Reorder the terms for easier multiplication:
2(-3 + 2x) + -1(x + 3) * 2 = -23
(-3 * 2 + 2x * 2) + -1(x + 3) * 2 = -23
(-6 + 4x) + -1(x + 3) * 2 = -23

Reorder the terms:
-6 + 4x + -1(3 + x) * 2 = -23

Reorder the terms for easier multiplication:
-6 + 4x + -1 * 2(3 + x) = -23

Multiply -1 * 2
-6 + 4x + -2(3 + x) = -23
-6 + 4x + (3 * -2 + x * -2) = -23
-6 + 4x + (-6 + -2x) = -23

Reorder the terms:
-6 + -6 + 4x + -2x = -23

Combine like terms: -6 + -6 = -12
-12 + 4x + -2x = -23

Combine like terms: 4x + -2x = 2x
-12 + 2x = -23

Solving
-12 + 2x = -23

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 2x = -23 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = -23 + 12
2x = -23 + 12

Combine like terms: -23 + 12 = -11
2x = -11

Divide each side by '2'.
x = -5.5

Simplifying
x = -5.5

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