2(x-3)-4(6-2x)=20

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Solution for 2(x-3)-4(6-2x)=20 equation:


Simplifying
2(x + -3) + -4(6 + -2x) = 20

Reorder the terms:
2(-3 + x) + -4(6 + -2x) = 20
(-3 * 2 + x * 2) + -4(6 + -2x) = 20
(-6 + 2x) + -4(6 + -2x) = 20
-6 + 2x + (6 * -4 + -2x * -4) = 20
-6 + 2x + (-24 + 8x) = 20

Reorder the terms:
-6 + -24 + 2x + 8x = 20

Combine like terms: -6 + -24 = -30
-30 + 2x + 8x = 20

Combine like terms: 2x + 8x = 10x
-30 + 10x = 20

Solving
-30 + 10x = 20

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 10x = 20 + 30

Combine like terms: -30 + 30 = 0
0 + 10x = 20 + 30
10x = 20 + 30

Combine like terms: 20 + 30 = 50
10x = 50

Divide each side by '10'.
x = 5

Simplifying
x = 5

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