7(2x-3)+5x=19-x

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Solution for 7(2x-3)+5x=19-x equation:


Simplifying
7(2x + -3) + 5x = 19 + -1x

Reorder the terms:
7(-3 + 2x) + 5x = 19 + -1x
(-3 * 7 + 2x * 7) + 5x = 19 + -1x
(-21 + 14x) + 5x = 19 + -1x

Combine like terms: 14x + 5x = 19x
-21 + 19x = 19 + -1x

Solving
-21 + 19x = 19 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-21 + 19x + x = 19 + -1x + x

Combine like terms: 19x + x = 20x
-21 + 20x = 19 + -1x + x

Combine like terms: -1x + x = 0
-21 + 20x = 19 + 0
-21 + 20x = 19

Add '21' to each side of the equation.
-21 + 21 + 20x = 19 + 21

Combine like terms: -21 + 21 = 0
0 + 20x = 19 + 21
20x = 19 + 21

Combine like terms: 19 + 21 = 40
20x = 40

Divide each side by '20'.
x = 2

Simplifying
x = 2

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