5x+3-2x+6=3x+4-5x+17

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Solution for 5x+3-2x+6=3x+4-5x+17 equation:


Simplifying
5x + 3 + -2x + 6 = 3x + 4 + -5x + 17

Reorder the terms:
3 + 6 + 5x + -2x = 3x + 4 + -5x + 17

Combine like terms: 3 + 6 = 9
9 + 5x + -2x = 3x + 4 + -5x + 17

Combine like terms: 5x + -2x = 3x
9 + 3x = 3x + 4 + -5x + 17

Reorder the terms:
9 + 3x = 4 + 17 + 3x + -5x

Combine like terms: 4 + 17 = 21
9 + 3x = 21 + 3x + -5x

Combine like terms: 3x + -5x = -2x
9 + 3x = 21 + -2x

Solving
9 + 3x = 21 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
9 + 3x + 2x = 21 + -2x + 2x

Combine like terms: 3x + 2x = 5x
9 + 5x = 21 + -2x + 2x

Combine like terms: -2x + 2x = 0
9 + 5x = 21 + 0
9 + 5x = 21

Add '-9' to each side of the equation.
9 + -9 + 5x = 21 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = 21 + -9
5x = 21 + -9

Combine like terms: 21 + -9 = 12
5x = 12

Divide each side by '5'.
x = 2.4

Simplifying
x = 2.4

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