x+2-2(-8x-7)=2(x-1)

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Solution for x+2-2(-8x-7)=2(x-1) equation:


Simplifying
x + 2 + -2(-8x + -7) = 2(x + -1)

Reorder the terms:
x + 2 + -2(-7 + -8x) = 2(x + -1)
x + 2 + (-7 * -2 + -8x * -2) = 2(x + -1)
x + 2 + (14 + 16x) = 2(x + -1)

Reorder the terms:
2 + 14 + x + 16x = 2(x + -1)

Combine like terms: 2 + 14 = 16
16 + x + 16x = 2(x + -1)

Combine like terms: x + 16x = 17x
16 + 17x = 2(x + -1)

Reorder the terms:
16 + 17x = 2(-1 + x)
16 + 17x = (-1 * 2 + x * 2)
16 + 17x = (-2 + 2x)

Solving
16 + 17x = -2 + 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.
16 + 17x + -2x = -2 + 2x + -2x

Combine like terms: 17x + -2x = 15x
16 + 15x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + 15x = -2 + 0
16 + 15x = -2

Add '-16' to each side of the equation.
16 + -16 + 15x = -2 + -16

Combine like terms: 16 + -16 = 0
0 + 15x = -2 + -16
15x = -2 + -16

Combine like terms: -2 + -16 = -18
15x = -18

Divide each side by '15'.
x = -1.2

Simplifying
x = -1.2

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