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

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


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

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

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

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

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

Solving
3 + 4x = -18 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3 + 4x + -5x = -18 + 5x + -5x

Combine like terms: 4x + -5x = -1x
3 + -1x = -18 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -1x = -18 + 0
3 + -1x = -18

Add '-3' to each side of the equation.
3 + -3 + -1x = -18 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = -18 + -3
-1x = -18 + -3

Combine like terms: -18 + -3 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21

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