3x-7+2x+10=9x-20

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Solution for 3x-7+2x+10=9x-20 equation:


Simplifying
3x + -7 + 2x + 10 = 9x + -20

Reorder the terms:
-7 + 10 + 3x + 2x = 9x + -20

Combine like terms: -7 + 10 = 3
3 + 3x + 2x = 9x + -20

Combine like terms: 3x + 2x = 5x
3 + 5x = 9x + -20

Reorder the terms:
3 + 5x = -20 + 9x

Solving
3 + 5x = -20 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
3 + 5x + -9x = -20 + 9x + -9x

Combine like terms: 5x + -9x = -4x
3 + -4x = -20 + 9x + -9x

Combine like terms: 9x + -9x = 0
3 + -4x = -20 + 0
3 + -4x = -20

Add '-3' to each side of the equation.
3 + -3 + -4x = -20 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = -20 + -3
-4x = -20 + -3

Combine like terms: -20 + -3 = -23
-4x = -23

Divide each side by '-4'.
x = 5.75

Simplifying
x = 5.75

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