-4(4x+1)-5=-2(x+3)+3x

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Solution for -4(4x+1)-5=-2(x+3)+3x equation:


Simplifying
-4(4x + 1) + -5 = -2(x + 3) + 3x

Reorder the terms:
-4(1 + 4x) + -5 = -2(x + 3) + 3x
(1 * -4 + 4x * -4) + -5 = -2(x + 3) + 3x
(-4 + -16x) + -5 = -2(x + 3) + 3x

Reorder the terms:
-4 + -5 + -16x = -2(x + 3) + 3x

Combine like terms: -4 + -5 = -9
-9 + -16x = -2(x + 3) + 3x

Reorder the terms:
-9 + -16x = -2(3 + x) + 3x
-9 + -16x = (3 * -2 + x * -2) + 3x
-9 + -16x = (-6 + -2x) + 3x

Combine like terms: -2x + 3x = 1x
-9 + -16x = -6 + 1x

Solving
-9 + -16x = -6 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-9 + -16x + -1x = -6 + 1x + -1x

Combine like terms: -16x + -1x = -17x
-9 + -17x = -6 + 1x + -1x

Combine like terms: 1x + -1x = 0
-9 + -17x = -6 + 0
-9 + -17x = -6

Add '9' to each side of the equation.
-9 + 9 + -17x = -6 + 9

Combine like terms: -9 + 9 = 0
0 + -17x = -6 + 9
-17x = -6 + 9

Combine like terms: -6 + 9 = 3
-17x = 3

Divide each side by '-17'.
x = -0.1764705882

Simplifying
x = -0.1764705882

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