2x-10=-3x+45

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Solution for 2x-10=-3x+45 equation:


Simplifying
2x + -10 = -3x + 45

Reorder the terms:
-10 + 2x = -3x + 45

Reorder the terms:
-10 + 2x = 45 + -3x

Solving
-10 + 2x = 45 + -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.
-10 + 2x + 3x = 45 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-10 + 5x = 45 + -3x + 3x

Combine like terms: -3x + 3x = 0
-10 + 5x = 45 + 0
-10 + 5x = 45

Add '10' to each side of the equation.
-10 + 10 + 5x = 45 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 45 + 10
5x = 45 + 10

Combine like terms: 45 + 10 = 55
5x = 55

Divide each side by '5'.
x = 11

Simplifying
x = 11

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