4(2-(2x-3))=2(7-3x)

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Solution for 4(2-(2x-3))=2(7-3x) equation:


Simplifying
4(2 + -1(2x + -3)) = 2(7 + -3x)

Reorder the terms:
4(2 + -1(-3 + 2x)) = 2(7 + -3x)
4(2 + (-3 * -1 + 2x * -1)) = 2(7 + -3x)
4(2 + (3 + -2x)) = 2(7 + -3x)

Combine like terms: 2 + 3 = 5
4(5 + -2x) = 2(7 + -3x)
(5 * 4 + -2x * 4) = 2(7 + -3x)
(20 + -8x) = 2(7 + -3x)
20 + -8x = (7 * 2 + -3x * 2)
20 + -8x = (14 + -6x)

Solving
20 + -8x = 14 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
20 + -8x + 6x = 14 + -6x + 6x

Combine like terms: -8x + 6x = -2x
20 + -2x = 14 + -6x + 6x

Combine like terms: -6x + 6x = 0
20 + -2x = 14 + 0
20 + -2x = 14

Add '-20' to each side of the equation.
20 + -20 + -2x = 14 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = 14 + -20
-2x = 14 + -20

Combine like terms: 14 + -20 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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