-3x+8=6-(10x+2)

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Solution for -3x+8=6-(10x+2) equation:


Simplifying
-3x + 8 = 6 + -1(10x + 2)

Reorder the terms:
8 + -3x = 6 + -1(10x + 2)

Reorder the terms:
8 + -3x = 6 + -1(2 + 10x)
8 + -3x = 6 + (2 * -1 + 10x * -1)
8 + -3x = 6 + (-2 + -10x)

Combine like terms: 6 + -2 = 4
8 + -3x = 4 + -10x

Solving
8 + -3x = 4 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
8 + -3x + 10x = 4 + -10x + 10x

Combine like terms: -3x + 10x = 7x
8 + 7x = 4 + -10x + 10x

Combine like terms: -10x + 10x = 0
8 + 7x = 4 + 0
8 + 7x = 4

Add '-8' to each side of the equation.
8 + -8 + 7x = 4 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = 4 + -8
7x = 4 + -8

Combine like terms: 4 + -8 = -4
7x = -4

Divide each side by '7'.
x = -0.5714285714

Simplifying
x = -0.5714285714

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