10-2x+9=5(x-3)

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Solution for 10-2x+9=5(x-3) equation:


Simplifying
10 + -2x + 9 = 5(x + -3)

Reorder the terms:
10 + 9 + -2x = 5(x + -3)

Combine like terms: 10 + 9 = 19
19 + -2x = 5(x + -3)

Reorder the terms:
19 + -2x = 5(-3 + x)
19 + -2x = (-3 * 5 + x * 5)
19 + -2x = (-15 + 5x)

Solving
19 + -2x = -15 + 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 + -2x + -5x = -15 + 5x + -5x

Combine like terms: -2x + -5x = -7x
19 + -7x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
19 + -7x = -15 + 0
19 + -7x = -15

Add '-19' to each side of the equation.
19 + -19 + -7x = -15 + -19

Combine like terms: 19 + -19 = 0
0 + -7x = -15 + -19
-7x = -15 + -19

Combine like terms: -15 + -19 = -34
-7x = -34

Divide each side by '-7'.
x = 4.857142857

Simplifying
x = 4.857142857

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