2(x-4)+7=16-(5-8)

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Solution for 2(x-4)+7=16-(5-8) equation:


Simplifying
2(x + -4) + 7 = 16 + -1(5 + -8)

Reorder the terms:
2(-4 + x) + 7 = 16 + -1(5 + -8)
(-4 * 2 + x * 2) + 7 = 16 + -1(5 + -8)
(-8 + 2x) + 7 = 16 + -1(5 + -8)

Reorder the terms:
-8 + 7 + 2x = 16 + -1(5 + -8)

Combine like terms: -8 + 7 = -1
-1 + 2x = 16 + -1(5 + -8)

Combine like terms: 5 + -8 = -3
-1 + 2x = 16 + -1(-3)

Multiply -1 * -3
-1 + 2x = 16 + 3

Combine like terms: 16 + 3 = 19
-1 + 2x = 19

Solving
-1 + 2x = 19

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 2x = 19 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 19 + 1
2x = 19 + 1

Combine like terms: 19 + 1 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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