19x+13-18x=2x-5+8

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Solution for 19x+13-18x=2x-5+8 equation:


Simplifying
19x + 13 + -18x = 2x + -5 + 8

Reorder the terms:
13 + 19x + -18x = 2x + -5 + 8

Combine like terms: 19x + -18x = 1x
13 + 1x = 2x + -5 + 8

Reorder the terms:
13 + 1x = -5 + 8 + 2x

Combine like terms: -5 + 8 = 3
13 + 1x = 3 + 2x

Solving
13 + 1x = 3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
13 + 1x + -2x = 3 + 2x + -2x

Combine like terms: 1x + -2x = -1x
13 + -1x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
13 + -1x = 3 + 0
13 + -1x = 3

Add '-13' to each side of the equation.
13 + -13 + -1x = 3 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 3 + -13
-1x = 3 + -13

Combine like terms: 3 + -13 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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