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

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


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

Remove parenthesis around (-1x)
2[4 + -3 * -1x] + -1 = 4[2(4x + -3) + 7] + -25

Multiply -3 * -1
2[4 + 3x] + -1 = 4[2(4x + -3) + 7] + -25
[4 * 2 + 3x * 2] + -1 = 4[2(4x + -3) + 7] + -25
[8 + 6x] + -1 = 4[2(4x + -3) + 7] + -25

Reorder the terms:
8 + -1 + 6x = 4[2(4x + -3) + 7] + -25

Combine like terms: 8 + -1 = 7
7 + 6x = 4[2(4x + -3) + 7] + -25

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

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

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

Reorder the terms:
7 + 6x = 4 + -25 + 32x

Combine like terms: 4 + -25 = -21
7 + 6x = -21 + 32x

Solving
7 + 6x = -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.
7 + 6x + -32x = -21 + 32x + -32x

Combine like terms: 6x + -32x = -26x
7 + -26x = -21 + 32x + -32x

Combine like terms: 32x + -32x = 0
7 + -26x = -21 + 0
7 + -26x = -21

Add '-7' to each side of the equation.
7 + -7 + -26x = -21 + -7

Combine like terms: 7 + -7 = 0
0 + -26x = -21 + -7
-26x = -21 + -7

Combine like terms: -21 + -7 = -28
-26x = -28

Divide each side by '-26'.
x = 1.076923077

Simplifying
x = 1.076923077

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