2[4-2(3-x)]-1=4[2(4x-3)+7]-25

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Solution for 2[4-2(3-x)]-1=4[2(4x-3)+7]-25 equation:


Simplifying
2[4 + -2(3 + -1x)] + -1 = 4[2(4x + -3) + 7] + -25
2[4 + (3 * -2 + -1x * -2)] + -1 = 4[2(4x + -3) + 7] + -25
2[4 + (-6 + 2x)] + -1 = 4[2(4x + -3) + 7] + -25

Combine like terms: 4 + -6 = -2
2[-2 + 2x] + -1 = 4[2(4x + -3) + 7] + -25
[-2 * 2 + 2x * 2] + -1 = 4[2(4x + -3) + 7] + -25
[-4 + 4x] + -1 = 4[2(4x + -3) + 7] + -25

Reorder the terms:
-4 + -1 + 4x = 4[2(4x + -3) + 7] + -25

Combine like terms: -4 + -1 = -5
-5 + 4x = 4[2(4x + -3) + 7] + -25

Reorder the terms:
-5 + 4x = 4[2(-3 + 4x) + 7] + -25
-5 + 4x = 4[(-3 * 2 + 4x * 2) + 7] + -25
-5 + 4x = 4[(-6 + 8x) + 7] + -25

Reorder the terms:
-5 + 4x = 4[-6 + 7 + 8x] + -25

Combine like terms: -6 + 7 = 1
-5 + 4x = 4[1 + 8x] + -25
-5 + 4x = [1 * 4 + 8x * 4] + -25
-5 + 4x = [4 + 32x] + -25

Reorder the terms:
-5 + 4x = 4 + -25 + 32x

Combine like terms: 4 + -25 = -21
-5 + 4x = -21 + 32x

Solving
-5 + 4x = -21 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
-5 + 4x + -32x = -21 + 32x + -32x

Combine like terms: 4x + -32x = -28x
-5 + -28x = -21 + 32x + -32x

Combine like terms: 32x + -32x = 0
-5 + -28x = -21 + 0
-5 + -28x = -21

Add '5' to each side of the equation.
-5 + 5 + -28x = -21 + 5

Combine like terms: -5 + 5 = 0
0 + -28x = -21 + 5
-28x = -21 + 5

Combine like terms: -21 + 5 = -16
-28x = -16

Divide each side by '-28'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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