5x+1=-3x+33

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Solution for 5x+1=-3x+33 equation:


Simplifying
5x + 1 = -3x + 33

Reorder the terms:
1 + 5x = -3x + 33

Reorder the terms:
1 + 5x = 33 + -3x

Solving
1 + 5x = 33 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
1 + 5x + 3x = 33 + -3x + 3x

Combine like terms: 5x + 3x = 8x
1 + 8x = 33 + -3x + 3x

Combine like terms: -3x + 3x = 0
1 + 8x = 33 + 0
1 + 8x = 33

Add '-1' to each side of the equation.
1 + -1 + 8x = 33 + -1

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

Combine like terms: 33 + -1 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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