4x+19=5x-10

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Solution for 4x+19=5x-10 equation:


Simplifying
4x + 19 = 5x + -10

Reorder the terms:
19 + 4x = 5x + -10

Reorder the terms:
19 + 4x = -10 + 5x

Solving
19 + 4x = -10 + 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.
19 + 4x + -5x = -10 + 5x + -5x

Combine like terms: 4x + -5x = -1x
19 + -1x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
19 + -1x = -10 + 0
19 + -1x = -10

Add '-19' to each side of the equation.
19 + -19 + -1x = -10 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = -10 + -19
-1x = -10 + -19

Combine like terms: -10 + -19 = -29
-1x = -29

Divide each side by '-1'.
x = 29

Simplifying
x = 29

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