2=8-2(2x-7)

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Solution for 2=8-2(2x-7) equation:


Simplifying
2 = 8 + -2(2x + -7)

Reorder the terms:
2 = 8 + -2(-7 + 2x)
2 = 8 + (-7 * -2 + 2x * -2)
2 = 8 + (14 + -4x)

Combine like terms: 8 + 14 = 22
2 = 22 + -4x

Solving
2 = 22 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
2 + 4x = 22 + -4x + 4x

Combine like terms: -4x + 4x = 0
2 + 4x = 22 + 0
2 + 4x = 22

Add '-2' to each side of the equation.
2 + -2 + 4x = 22 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 22 + -2
4x = 22 + -2

Combine like terms: 22 + -2 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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