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

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


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

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

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

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

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

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

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

Solving
1 + -4x = -1 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
1 + -4x + 8x = -1 + -8x + 8x

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

Combine like terms: -8x + 8x = 0
1 + 4x = -1 + 0
1 + 4x = -1

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

Combine like terms: 1 + -1 = 0
0 + 4x = -1 + -1
4x = -1 + -1

Combine like terms: -1 + -1 = -2
4x = -2

Divide each side by '4'.
x = -0.5

Simplifying
x = -0.5

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