4(x-4)+14=2(8-2x)+6

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Solution for 4(x-4)+14=2(8-2x)+6 equation:


Simplifying
4(x + -4) + 14 = 2(8 + -2x) + 6

Reorder the terms:
4(-4 + x) + 14 = 2(8 + -2x) + 6
(-4 * 4 + x * 4) + 14 = 2(8 + -2x) + 6
(-16 + 4x) + 14 = 2(8 + -2x) + 6

Reorder the terms:
-16 + 14 + 4x = 2(8 + -2x) + 6

Combine like terms: -16 + 14 = -2
-2 + 4x = 2(8 + -2x) + 6
-2 + 4x = (8 * 2 + -2x * 2) + 6
-2 + 4x = (16 + -4x) + 6

Reorder the terms:
-2 + 4x = 16 + 6 + -4x

Combine like terms: 16 + 6 = 22
-2 + 4x = 22 + -4x

Solving
-2 + 4x = 22 + -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.
-2 + 4x + 4x = 22 + -4x + 4x

Combine like terms: 4x + 4x = 8x
-2 + 8x = 22 + -4x + 4x

Combine like terms: -4x + 4x = 0
-2 + 8x = 22 + 0
-2 + 8x = 22

Add '2' to each side of the equation.
-2 + 2 + 8x = 22 + 2

Combine like terms: -2 + 2 = 0
0 + 8x = 22 + 2
8x = 22 + 2

Combine like terms: 22 + 2 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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