3-4(4x+1)-3=3+2(4-2x)-16

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Solution for 3-4(4x+1)-3=3+2(4-2x)-16 equation:


Simplifying
3 + -4(4x + 1) + -3 = 3 + 2(4 + -2x) + -16

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

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

Combine like terms: 3 + -4 = -1
-1 + -3 + -16x = 3 + 2(4 + -2x) + -16

Combine like terms: -1 + -3 = -4
-4 + -16x = 3 + 2(4 + -2x) + -16
-4 + -16x = 3 + (4 * 2 + -2x * 2) + -16
-4 + -16x = 3 + (8 + -4x) + -16

Reorder the terms:
-4 + -16x = 3 + 8 + -16 + -4x

Combine like terms: 3 + 8 = 11
-4 + -16x = 11 + -16 + -4x

Combine like terms: 11 + -16 = -5
-4 + -16x = -5 + -4x

Solving
-4 + -16x = -5 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-4 + -16x + 4x = -5 + -4x + 4x

Combine like terms: -16x + 4x = -12x
-4 + -12x = -5 + -4x + 4x

Combine like terms: -4x + 4x = 0
-4 + -12x = -5 + 0
-4 + -12x = -5

Add '4' to each side of the equation.
-4 + 4 + -12x = -5 + 4

Combine like terms: -4 + 4 = 0
0 + -12x = -5 + 4
-12x = -5 + 4

Combine like terms: -5 + 4 = -1
-12x = -1

Divide each side by '-12'.
x = 0.08333333333

Simplifying
x = 0.08333333333

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