13+2(2x-2)=16-(3x-7)

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Solution for 13+2(2x-2)=16-(3x-7) equation:


Simplifying
13 + 2(2x + -2) = 16 + -1(3x + -7)

Reorder the terms:
13 + 2(-2 + 2x) = 16 + -1(3x + -7)
13 + (-2 * 2 + 2x * 2) = 16 + -1(3x + -7)
13 + (-4 + 4x) = 16 + -1(3x + -7)

Combine like terms: 13 + -4 = 9
9 + 4x = 16 + -1(3x + -7)

Reorder the terms:
9 + 4x = 16 + -1(-7 + 3x)
9 + 4x = 16 + (-7 * -1 + 3x * -1)
9 + 4x = 16 + (7 + -3x)

Combine like terms: 16 + 7 = 23
9 + 4x = 23 + -3x

Solving
9 + 4x = 23 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
9 + 4x + 3x = 23 + -3x + 3x

Combine like terms: 4x + 3x = 7x
9 + 7x = 23 + -3x + 3x

Combine like terms: -3x + 3x = 0
9 + 7x = 23 + 0
9 + 7x = 23

Add '-9' to each side of the equation.
9 + -9 + 7x = 23 + -9

Combine like terms: 9 + -9 = 0
0 + 7x = 23 + -9
7x = 23 + -9

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

Divide each side by '7'.
x = 2

Simplifying
x = 2

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