16-4(x+3)=4(x+5)-2

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Solution for 16-4(x+3)=4(x+5)-2 equation:


Simplifying
16 + -4(x + 3) = 4(x + 5) + -2

Reorder the terms:
16 + -4(3 + x) = 4(x + 5) + -2
16 + (3 * -4 + x * -4) = 4(x + 5) + -2
16 + (-12 + -4x) = 4(x + 5) + -2

Combine like terms: 16 + -12 = 4
4 + -4x = 4(x + 5) + -2

Reorder the terms:
4 + -4x = 4(5 + x) + -2
4 + -4x = (5 * 4 + x * 4) + -2
4 + -4x = (20 + 4x) + -2

Reorder the terms:
4 + -4x = 20 + -2 + 4x

Combine like terms: 20 + -2 = 18
4 + -4x = 18 + 4x

Solving
4 + -4x = 18 + 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 + -4x + -4x = 18 + 4x + -4x

Combine like terms: -4x + -4x = -8x
4 + -8x = 18 + 4x + -4x

Combine like terms: 4x + -4x = 0
4 + -8x = 18 + 0
4 + -8x = 18

Add '-4' to each side of the equation.
4 + -4 + -8x = 18 + -4

Combine like terms: 4 + -4 = 0
0 + -8x = 18 + -4
-8x = 18 + -4

Combine like terms: 18 + -4 = 14
-8x = 14

Divide each side by '-8'.
x = -1.75

Simplifying
x = -1.75

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