2-6x+10x=-2(-3x+4)

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Solution for 2-6x+10x=-2(-3x+4) equation:


Simplifying
2 + -6x + 10x = -2(-3x + 4)

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

Reorder the terms:
2 + 4x = -2(4 + -3x)
2 + 4x = (4 * -2 + -3x * -2)
2 + 4x = (-8 + 6x)

Solving
2 + 4x = -8 + 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.
2 + 4x + -6x = -8 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
2 + -2x = -8 + 0
2 + -2x = -8

Add '-2' to each side of the equation.
2 + -2 + -2x = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = -8 + -2
-2x = -8 + -2

Combine like terms: -8 + -2 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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