10x+27-5x-46=32+3x-9

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Solution for 10x+27-5x-46=32+3x-9 equation:


Simplifying
10x + 27 + -5x + -46 = 32 + 3x + -9

Reorder the terms:
27 + -46 + 10x + -5x = 32 + 3x + -9

Combine like terms: 27 + -46 = -19
-19 + 10x + -5x = 32 + 3x + -9

Combine like terms: 10x + -5x = 5x
-19 + 5x = 32 + 3x + -9

Reorder the terms:
-19 + 5x = 32 + -9 + 3x

Combine like terms: 32 + -9 = 23
-19 + 5x = 23 + 3x

Solving
-19 + 5x = 23 + 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.
-19 + 5x + -3x = 23 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-19 + 2x = 23 + 3x + -3x

Combine like terms: 3x + -3x = 0
-19 + 2x = 23 + 0
-19 + 2x = 23

Add '19' to each side of the equation.
-19 + 19 + 2x = 23 + 19

Combine like terms: -19 + 19 = 0
0 + 2x = 23 + 19
2x = 23 + 19

Combine like terms: 23 + 19 = 42
2x = 42

Divide each side by '2'.
x = 21

Simplifying
x = 21

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