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 = 9
9 + -4x = 4x + -3(4x + -1) + -4

Reorder the terms:
9 + -4x = 4x + -3(-1 + 4x) + -4
9 + -4x = 4x + (-1 * -3 + 4x * -3) + -4
9 + -4x = 4x + (3 + -12x) + -4

Reorder the terms:
9 + -4x = 3 + -4 + 4x + -12x

Combine like terms: 3 + -4 = -1
9 + -4x = -1 + 4x + -12x

Combine like terms: 4x + -12x = -8x
9 + -4x = -1 + -8x

Solving
9 + -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.
9 + -4x + 8x = -1 + -8x + 8x

Combine like terms: -4x + 8x = 4x
9 + 4x = -1 + -8x + 8x

Combine like terms: -8x + 8x = 0
9 + 4x = -1 + 0
9 + 4x = -1

Add '-9' to each side of the equation.
9 + -9 + 4x = -1 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = -1 + -9
4x = -1 + -9

Combine like terms: -1 + -9 = -10
4x = -10

Divide each side by '4'.
x = -2.5

Simplifying
x = -2.5

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