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

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


Simplifying
4(x + 4) + -1(2 + -1x) = 6

Reorder the terms:
4(4 + x) + -1(2 + -1x) = 6
(4 * 4 + x * 4) + -1(2 + -1x) = 6
(16 + 4x) + -1(2 + -1x) = 6
16 + 4x + (2 * -1 + -1x * -1) = 6
16 + 4x + (-2 + 1x) = 6

Reorder the terms:
16 + -2 + 4x + 1x = 6

Combine like terms: 16 + -2 = 14
14 + 4x + 1x = 6

Combine like terms: 4x + 1x = 5x
14 + 5x = 6

Solving
14 + 5x = 6

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 5x = 6 + -14

Combine like terms: 14 + -14 = 0
0 + 5x = 6 + -14
5x = 6 + -14

Combine like terms: 6 + -14 = -8
5x = -8

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6

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