4x+2-2(-5x-3)=6(x-1)

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Solution for 4x+2-2(-5x-3)=6(x-1) equation:


Simplifying
4x + 2 + -2(-5x + -3) = 6(x + -1)

Reorder the terms:
4x + 2 + -2(-3 + -5x) = 6(x + -1)
4x + 2 + (-3 * -2 + -5x * -2) = 6(x + -1)
4x + 2 + (6 + 10x) = 6(x + -1)

Reorder the terms:
2 + 6 + 4x + 10x = 6(x + -1)

Combine like terms: 2 + 6 = 8
8 + 4x + 10x = 6(x + -1)

Combine like terms: 4x + 10x = 14x
8 + 14x = 6(x + -1)

Reorder the terms:
8 + 14x = 6(-1 + x)
8 + 14x = (-1 * 6 + x * 6)
8 + 14x = (-6 + 6x)

Solving
8 + 14x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + 14x + -6x = -6 + 6x + -6x

Combine like terms: 14x + -6x = 8x
8 + 8x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + 8x = -6 + 0
8 + 8x = -6

Add '-8' to each side of the equation.
8 + -8 + 8x = -6 + -8

Combine like terms: 8 + -8 = 0
0 + 8x = -6 + -8
8x = -6 + -8

Combine like terms: -6 + -8 = -14
8x = -14

Divide each side by '8'.
x = -1.75

Simplifying
x = -1.75

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