2x+21+3x-2=58-4x+33

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Solution for 2x+21+3x-2=58-4x+33 equation:


Simplifying
2x + 21 + 3x + -2 = 58 + -4x + 33

Reorder the terms:
21 + -2 + 2x + 3x = 58 + -4x + 33

Combine like terms: 21 + -2 = 19
19 + 2x + 3x = 58 + -4x + 33

Combine like terms: 2x + 3x = 5x
19 + 5x = 58 + -4x + 33

Reorder the terms:
19 + 5x = 58 + 33 + -4x

Combine like terms: 58 + 33 = 91
19 + 5x = 91 + -4x

Solving
19 + 5x = 91 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
19 + 5x + 4x = 91 + -4x + 4x

Combine like terms: 5x + 4x = 9x
19 + 9x = 91 + -4x + 4x

Combine like terms: -4x + 4x = 0
19 + 9x = 91 + 0
19 + 9x = 91

Add '-19' to each side of the equation.
19 + -19 + 9x = 91 + -19

Combine like terms: 19 + -19 = 0
0 + 9x = 91 + -19
9x = 91 + -19

Combine like terms: 91 + -19 = 72
9x = 72

Divide each side by '9'.
x = 8

Simplifying
x = 8

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