5-4(x+1)=4-3(4x-1)-4

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Solution for 5-4(x+1)=4-3(4x-1)-4 equation: 


Simplifying
5 + -4(x + 1) = 4 + -3(4x + -1) + -4

Reorder the terms:
5 + -4(1 + x) = 4 + -3(4x + -1) + -4
5 + (1 * -4 + x * -4) = 4 + -3(4x + -1) + -4
5 + (-4 + -4x) = 4 + -3(4x + -1) + -4

Combine like terms: 5 + -4 = 1
1 + -4x = 4 + -3(4x + -1) + -4

Reorder the terms:
1 + -4x = 4 + -3(-1 + 4x) + -4
1 + -4x = 4 + (-1 * -3 + 4x * -3) + -4
1 + -4x = 4 + (3 + -12x) + -4

Reorder the terms:
1 + -4x = 4 + 3 + -4 + -12x

Combine like terms: 4 + 3 = 7
1 + -4x = 7 + -4 + -12x

Combine like terms: 7 + -4 = 3
1 + -4x = 3 + -12x

Solving
1 + -4x = 3 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
1 + -4x + 12x = 3 + -12x + 12x

Combine like terms: -4x + 12x = 8x
1 + 8x = 3 + -12x + 12x

Combine like terms: -12x + 12x = 0
1 + 8x = 3 + 0
1 + 8x = 3

Add '-1' to each side of the equation.
1 + -1 + 8x = 3 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 3 + -1
8x = 3 + -1

Combine like terms: 3 + -1 = 2
8x = 2

Divide each side by '8'.
x = 0.25

Simplifying
x = 0.25

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