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

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


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

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

Reorder the terms:
4 + 16x = -4 + 3x

Solving
4 + 16x = -4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + 16x + -3x = -4 + 3x + -3x

Combine like terms: 16x + -3x = 13x
4 + 13x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 13x = -4 + 0
4 + 13x = -4

Add '-4' to each side of the equation.
4 + -4 + 13x = -4 + -4

Combine like terms: 4 + -4 = 0
0 + 13x = -4 + -4
13x = -4 + -4

Combine like terms: -4 + -4 = -8
13x = -8

Divide each side by '13'.
x = -0.6153846154

Simplifying
x = -0.6153846154

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