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

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


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

Reorder the terms:
-3(4 + x) = 5(4x + -1)
(4 * -3 + x * -3) = 5(4x + -1)
(-12 + -3x) = 5(4x + -1)

Reorder the terms:
-12 + -3x = 5(-1 + 4x)
-12 + -3x = (-1 * 5 + 4x * 5)
-12 + -3x = (-5 + 20x)

Solving
-12 + -3x = -5 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-12 + -3x + -20x = -5 + 20x + -20x

Combine like terms: -3x + -20x = -23x
-12 + -23x = -5 + 20x + -20x

Combine like terms: 20x + -20x = 0
-12 + -23x = -5 + 0
-12 + -23x = -5

Add '12' to each side of the equation.
-12 + 12 + -23x = -5 + 12

Combine like terms: -12 + 12 = 0
0 + -23x = -5 + 12
-23x = -5 + 12

Combine like terms: -5 + 12 = 7
-23x = 7

Divide each side by '-23'.
x = -0.3043478261

Simplifying
x = -0.3043478261

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