3x+13=-7(x-2)+9

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Solution for 3x+13=-7(x-2)+9 equation:


Simplifying
3x + 13 = -7(x + -2) + 9

Reorder the terms:
13 + 3x = -7(x + -2) + 9

Reorder the terms:
13 + 3x = -7(-2 + x) + 9
13 + 3x = (-2 * -7 + x * -7) + 9
13 + 3x = (14 + -7x) + 9

Reorder the terms:
13 + 3x = 14 + 9 + -7x

Combine like terms: 14 + 9 = 23
13 + 3x = 23 + -7x

Solving
13 + 3x = 23 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
13 + 3x + 7x = 23 + -7x + 7x

Combine like terms: 3x + 7x = 10x
13 + 10x = 23 + -7x + 7x

Combine like terms: -7x + 7x = 0
13 + 10x = 23 + 0
13 + 10x = 23

Add '-13' to each side of the equation.
13 + -13 + 10x = 23 + -13

Combine like terms: 13 + -13 = 0
0 + 10x = 23 + -13
10x = 23 + -13

Combine like terms: 23 + -13 = 10
10x = 10

Divide each side by '10'.
x = 1

Simplifying
x = 1

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