4[2-(2x-5)]=2(9-3x)

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Solution for 4[2-(2x-5)]=2(9-3x) equation:


Simplifying
4[2 + -1(2x + -5)] = 2(9 + -3x)

Reorder the terms:
4[2 + -1(-5 + 2x)] = 2(9 + -3x)
4[2 + (-5 * -1 + 2x * -1)] = 2(9 + -3x)
4[2 + (5 + -2x)] = 2(9 + -3x)

Combine like terms: 2 + 5 = 7
4[7 + -2x] = 2(9 + -3x)
[7 * 4 + -2x * 4] = 2(9 + -3x)
[28 + -8x] = 2(9 + -3x)
28 + -8x = (9 * 2 + -3x * 2)
28 + -8x = (18 + -6x)

Solving
28 + -8x = 18 + -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.
28 + -8x + 6x = 18 + -6x + 6x

Combine like terms: -8x + 6x = -2x
28 + -2x = 18 + -6x + 6x

Combine like terms: -6x + 6x = 0
28 + -2x = 18 + 0
28 + -2x = 18

Add '-28' to each side of the equation.
28 + -28 + -2x = 18 + -28

Combine like terms: 28 + -28 = 0
0 + -2x = 18 + -28
-2x = 18 + -28

Combine like terms: 18 + -28 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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