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

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Solution for 10-2x+6x=-2(-3x+1) equation:


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

Combine like terms: -2x + 6x = 4x
10 + 4x = -2(-3x + 1)

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

Solving
10 + 4x = -2 + 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.
10 + 4x + -6x = -2 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
10 + -2x = -2 + 0
10 + -2x = -2

Add '-10' to each side of the equation.
10 + -10 + -2x = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = -2 + -10
-2x = -2 + -10

Combine like terms: -2 + -10 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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