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

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


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

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

Combine like terms: 5x + 2x = 7x
-7 + 7x = 16 + 2(x + -4)

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

Combine like terms: 16 + -8 = 8
-7 + 7x = 8 + 2x

Solving
-7 + 7x = 8 + 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.
-7 + 7x + -2x = 8 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-7 + 5x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + 5x = 8 + 0
-7 + 5x = 8

Add '7' to each side of the equation.
-7 + 7 + 5x = 8 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = 8 + 7
5x = 8 + 7

Combine like terms: 8 + 7 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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