13=-2(x-4)+9

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Solution for 13=-2(x-4)+9 equation:


Simplifying
13 = -2(x + -4) + 9

Reorder the terms:
13 = -2(-4 + x) + 9
13 = (-4 * -2 + x * -2) + 9
13 = (8 + -2x) + 9

Reorder the terms:
13 = 8 + 9 + -2x

Combine like terms: 8 + 9 = 17
13 = 17 + -2x

Solving
13 = 17 + -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.
13 + 2x = 17 + -2x + 2x

Combine like terms: -2x + 2x = 0
13 + 2x = 17 + 0
13 + 2x = 17

Add '-13' to each side of the equation.
13 + -13 + 2x = 17 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 17 + -13
2x = 17 + -13

Combine like terms: 17 + -13 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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