4x+2-2(-7x-2)=2(x-1)

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Solution for 4x+2-2(-7x-2)=2(x-1) equation:


Simplifying
4x + 2 + -2(-7x + -2) = 2(x + -1)

Reorder the terms:
4x + 2 + -2(-2 + -7x) = 2(x + -1)
4x + 2 + (-2 * -2 + -7x * -2) = 2(x + -1)
4x + 2 + (4 + 14x) = 2(x + -1)

Reorder the terms:
2 + 4 + 4x + 14x = 2(x + -1)

Combine like terms: 2 + 4 = 6
6 + 4x + 14x = 2(x + -1)

Combine like terms: 4x + 14x = 18x
6 + 18x = 2(x + -1)

Reorder the terms:
6 + 18x = 2(-1 + x)
6 + 18x = (-1 * 2 + x * 2)
6 + 18x = (-2 + 2x)

Solving
6 + 18x = -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.
6 + 18x + -2x = -2 + 2x + -2x

Combine like terms: 18x + -2x = 16x
6 + 16x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 16x = -2 + 0
6 + 16x = -2

Add '-6' to each side of the equation.
6 + -6 + 16x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + 16x = -2 + -6
16x = -2 + -6

Combine like terms: -2 + -6 = -8
16x = -8

Divide each side by '16'.
x = -0.5

Simplifying
x = -0.5

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