19=5(x-2)-(x-9)

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Solution for 19=5(x-2)-(x-9) equation:


Simplifying
19 = 5(x + -2) + -1(x + -9)

Reorder the terms:
19 = 5(-2 + x) + -1(x + -9)
19 = (-2 * 5 + x * 5) + -1(x + -9)
19 = (-10 + 5x) + -1(x + -9)

Reorder the terms:
19 = -10 + 5x + -1(-9 + x)
19 = -10 + 5x + (-9 * -1 + x * -1)
19 = -10 + 5x + (9 + -1x)

Reorder the terms:
19 = -10 + 9 + 5x + -1x

Combine like terms: -10 + 9 = -1
19 = -1 + 5x + -1x

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

Solving
19 = -1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
19 + -4x = -1 + 4x + -4x

Combine like terms: 4x + -4x = 0
19 + -4x = -1 + 0
19 + -4x = -1

Add '-19' to each side of the equation.
19 + -19 + -4x = -1 + -19

Combine like terms: 19 + -19 = 0
0 + -4x = -1 + -19
-4x = -1 + -19

Combine like terms: -1 + -19 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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