4x+8=-x+33

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Solution for 4x+8=-x+33 equation:


Simplifying
4x + 8 = -1x + 33

Reorder the terms:
8 + 4x = -1x + 33

Reorder the terms:
8 + 4x = 33 + -1x

Solving
8 + 4x = 33 + -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.
8 + 4x + x = 33 + -1x + x

Combine like terms: 4x + x = 5x
8 + 5x = 33 + -1x + x

Combine like terms: -1x + x = 0
8 + 5x = 33 + 0
8 + 5x = 33

Add '-8' to each side of the equation.
8 + -8 + 5x = 33 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 33 + -8
5x = 33 + -8

Combine like terms: 33 + -8 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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