4(x+2)-2=-x+41

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Solution for 4(x+2)-2=-x+41 equation:


Simplifying
4(x + 2) + -2 = -1x + 41

Reorder the terms:
4(2 + x) + -2 = -1x + 41
(2 * 4 + x * 4) + -2 = -1x + 41
(8 + 4x) + -2 = -1x + 41

Reorder the terms:
8 + -2 + 4x = -1x + 41

Combine like terms: 8 + -2 = 6
6 + 4x = -1x + 41

Reorder the terms:
6 + 4x = 41 + -1x

Solving
6 + 4x = 41 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + 4x + x = 41 + -1x + x

Combine like terms: 4x + x = 5x
6 + 5x = 41 + -1x + x

Combine like terms: -1x + x = 0
6 + 5x = 41 + 0
6 + 5x = 41

Add '-6' to each side of the equation.
6 + -6 + 5x = 41 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 41 + -6
5x = 41 + -6

Combine like terms: 41 + -6 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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