3(x+5)-2=-x+41

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Solution for 3(x+5)-2=-x+41 equation:


Simplifying
3(x + 5) + -2 = -1x + 41

Reorder the terms:
3(5 + x) + -2 = -1x + 41
(5 * 3 + x * 3) + -2 = -1x + 41
(15 + 3x) + -2 = -1x + 41

Reorder the terms:
15 + -2 + 3x = -1x + 41

Combine like terms: 15 + -2 = 13
13 + 3x = -1x + 41

Reorder the terms:
13 + 3x = 41 + -1x

Solving
13 + 3x = 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.
13 + 3x + x = 41 + -1x + x

Combine like terms: 3x + x = 4x
13 + 4x = 41 + -1x + x

Combine like terms: -1x + x = 0
13 + 4x = 41 + 0
13 + 4x = 41

Add '-13' to each side of the equation.
13 + -13 + 4x = 41 + -13

Combine like terms: 13 + -13 = 0
0 + 4x = 41 + -13
4x = 41 + -13

Combine like terms: 41 + -13 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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