10x-19=8x-15+28

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Solution for 10x-19=8x-15+28 equation:


Simplifying
10x + -19 = 8x + -15 + 28

Reorder the terms:
-19 + 10x = 8x + -15 + 28

Reorder the terms:
-19 + 10x = -15 + 28 + 8x

Combine like terms: -15 + 28 = 13
-19 + 10x = 13 + 8x

Solving
-19 + 10x = 13 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-19 + 10x + -8x = 13 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-19 + 2x = 13 + 8x + -8x

Combine like terms: 8x + -8x = 0
-19 + 2x = 13 + 0
-19 + 2x = 13

Add '19' to each side of the equation.
-19 + 19 + 2x = 13 + 19

Combine like terms: -19 + 19 = 0
0 + 2x = 13 + 19
2x = 13 + 19

Combine like terms: 13 + 19 = 32
2x = 32

Divide each side by '2'.
x = 16

Simplifying
x = 16

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