2x+1=-6x+41

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Solution for 2x+1=-6x+41 equation:


Simplifying
2x + 1 = -6x + 41

Reorder the terms:
1 + 2x = -6x + 41

Reorder the terms:
1 + 2x = 41 + -6x

Solving
1 + 2x = 41 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
1 + 2x + 6x = 41 + -6x + 6x

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

Combine like terms: -6x + 6x = 0
1 + 8x = 41 + 0
1 + 8x = 41

Add '-1' to each side of the equation.
1 + -1 + 8x = 41 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 41 + -1
8x = 41 + -1

Combine like terms: 41 + -1 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5

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