3x-10+4x+18-5x+13=3x+10

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Solution for 3x-10+4x+18-5x+13=3x+10 equation:


Simplifying
3x + -10 + 4x + 18 + -5x + 13 = 3x + 10

Reorder the terms:
-10 + 18 + 13 + 3x + 4x + -5x = 3x + 10

Combine like terms: -10 + 18 = 8
8 + 13 + 3x + 4x + -5x = 3x + 10

Combine like terms: 8 + 13 = 21
21 + 3x + 4x + -5x = 3x + 10

Combine like terms: 3x + 4x = 7x
21 + 7x + -5x = 3x + 10

Combine like terms: 7x + -5x = 2x
21 + 2x = 3x + 10

Reorder the terms:
21 + 2x = 10 + 3x

Solving
21 + 2x = 10 + 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.
21 + 2x + -3x = 10 + 3x + -3x

Combine like terms: 2x + -3x = -1x
21 + -1x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
21 + -1x = 10 + 0
21 + -1x = 10

Add '-21' to each side of the equation.
21 + -21 + -1x = 10 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = 10 + -21
-1x = 10 + -21

Combine like terms: 10 + -21 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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