2(2x-3)-(x-2)=-20

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Solution for 2(2x-3)-(x-2)=-20 equation:


Simplifying
2(2x + -3) + -1(x + -2) = -20

Reorder the terms:
2(-3 + 2x) + -1(x + -2) = -20
(-3 * 2 + 2x * 2) + -1(x + -2) = -20
(-6 + 4x) + -1(x + -2) = -20

Reorder the terms:
-6 + 4x + -1(-2 + x) = -20
-6 + 4x + (-2 * -1 + x * -1) = -20
-6 + 4x + (2 + -1x) = -20

Reorder the terms:
-6 + 2 + 4x + -1x = -20

Combine like terms: -6 + 2 = -4
-4 + 4x + -1x = -20

Combine like terms: 4x + -1x = 3x
-4 + 3x = -20

Solving
-4 + 3x = -20

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 3x = -20 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = -20 + 4
3x = -20 + 4

Combine like terms: -20 + 4 = -16
3x = -16

Divide each side by '3'.
x = -5.333333333

Simplifying
x = -5.333333333

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