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

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


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

Reorder the terms:
4(5 + 4x) = 4(3x + -1)
(5 * 4 + 4x * 4) = 4(3x + -1)
(20 + 16x) = 4(3x + -1)

Reorder the terms:
20 + 16x = 4(-1 + 3x)
20 + 16x = (-1 * 4 + 3x * 4)
20 + 16x = (-4 + 12x)

Solving
20 + 16x = -4 + 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.
20 + 16x + -12x = -4 + 12x + -12x

Combine like terms: 16x + -12x = 4x
20 + 4x = -4 + 12x + -12x

Combine like terms: 12x + -12x = 0
20 + 4x = -4 + 0
20 + 4x = -4

Add '-20' to each side of the equation.
20 + -20 + 4x = -4 + -20

Combine like terms: 20 + -20 = 0
0 + 4x = -4 + -20
4x = -4 + -20

Combine like terms: -4 + -20 = -24
4x = -24

Divide each side by '4'.
x = -6

Simplifying
x = -6

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