-2(-x+3)-6(-4x+10)=-2x-5x

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Solution for -2(-x+3)-6(-4x+10)=-2x-5x equation:


Simplifying
-2(-1x + 3) + -6(-4x + 10) = -2x + -5x

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

Reorder the terms:
-6 + 2x + -6(10 + -4x) = -2x + -5x
-6 + 2x + (10 * -6 + -4x * -6) = -2x + -5x
-6 + 2x + (-60 + 24x) = -2x + -5x

Reorder the terms:
-6 + -60 + 2x + 24x = -2x + -5x

Combine like terms: -6 + -60 = -66
-66 + 2x + 24x = -2x + -5x

Combine like terms: 2x + 24x = 26x
-66 + 26x = -2x + -5x

Combine like terms: -2x + -5x = -7x
-66 + 26x = -7x

Solving
-66 + 26x = -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-66 + 26x + 7x = -7x + 7x

Combine like terms: 26x + 7x = 33x
-66 + 33x = -7x + 7x

Combine like terms: -7x + 7x = 0
-66 + 33x = 0

Add '66' to each side of the equation.
-66 + 66 + 33x = 0 + 66

Combine like terms: -66 + 66 = 0
0 + 33x = 0 + 66
33x = 0 + 66

Combine like terms: 0 + 66 = 66
33x = 66

Divide each side by '33'.
x = 2

Simplifying
x = 2

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