10-2x+6x=-2(-4x+5)

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Solution for 10-2x+6x=-2(-4x+5) equation:


Simplifying
10 + -2x + 6x = -2(-4x + 5)

Combine like terms: -2x + 6x = 4x
10 + 4x = -2(-4x + 5)

Reorder the terms:
10 + 4x = -2(5 + -4x)
10 + 4x = (5 * -2 + -4x * -2)
10 + 4x = (-10 + 8x)

Solving
10 + 4x = -10 + 8x

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: -10 + -10 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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