5(x-1)=-2x+19

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Solution for 5(x-1)=-2x+19 equation:


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

Reorder the terms:
5(-1 + x) = -2x + 19
(-1 * 5 + x * 5) = -2x + 19
(-5 + 5x) = -2x + 19

Reorder the terms:
-5 + 5x = 19 + -2x

Solving
-5 + 5x = 19 + -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.
-5 + 5x + 2x = 19 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-5 + 7x = 19 + -2x + 2x

Combine like terms: -2x + 2x = 0
-5 + 7x = 19 + 0
-5 + 7x = 19

Add '5' to each side of the equation.
-5 + 5 + 7x = 19 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = 19 + 5
7x = 19 + 5

Combine like terms: 19 + 5 = 24
7x = 24

Divide each side by '7'.
x = 3.428571429

Simplifying
x = 3.428571429

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