2x+21+3x-2=52-4x+30

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Solution for 2x+21+3x-2=52-4x+30 equation:


Simplifying
2x + 21 + 3x + -2 = 52 + -4x + 30

Reorder the terms:
21 + -2 + 2x + 3x = 52 + -4x + 30

Combine like terms: 21 + -2 = 19
19 + 2x + 3x = 52 + -4x + 30

Combine like terms: 2x + 3x = 5x
19 + 5x = 52 + -4x + 30

Reorder the terms:
19 + 5x = 52 + 30 + -4x

Combine like terms: 52 + 30 = 82
19 + 5x = 82 + -4x

Solving
19 + 5x = 82 + -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 = 82 + -4x + 4x

Combine like terms: 5x + 4x = 9x
19 + 9x = 82 + -4x + 4x

Combine like terms: -4x + 4x = 0
19 + 9x = 82 + 0
19 + 9x = 82

Add '-19' to each side of the equation.
19 + -19 + 9x = 82 + -19

Combine like terms: 19 + -19 = 0
0 + 9x = 82 + -19
9x = 82 + -19

Combine like terms: 82 + -19 = 63
9x = 63

Divide each side by '9'.
x = 7

Simplifying
x = 7

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