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

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


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

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

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

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

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

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

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

Solving
-9 + -16x = -3 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-9 + -16x + 2x = -3 + -2x + 2x

Combine like terms: -16x + 2x = -14x
-9 + -14x = -3 + -2x + 2x

Combine like terms: -2x + 2x = 0
-9 + -14x = -3 + 0
-9 + -14x = -3

Add '9' to each side of the equation.
-9 + 9 + -14x = -3 + 9

Combine like terms: -9 + 9 = 0
0 + -14x = -3 + 9
-14x = -3 + 9

Combine like terms: -3 + 9 = 6
-14x = 6

Divide each side by '-14'.
x = -0.4285714286

Simplifying
x = -0.4285714286

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