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

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


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

Reorder the terms:
4(-10 + x) = -6(2 + -2x) + -6
(-10 * 4 + x * 4) = -6(2 + -2x) + -6
(-40 + 4x) = -6(2 + -2x) + -6
-40 + 4x = (2 * -6 + -2x * -6) + -6
-40 + 4x = (-12 + 12x) + -6

Reorder the terms:
-40 + 4x = -12 + -6 + 12x

Combine like terms: -12 + -6 = -18
-40 + 4x = -18 + 12x

Solving
-40 + 4x = -18 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-40 + 4x + -12x = -18 + 12x + -12x

Combine like terms: 4x + -12x = -8x
-40 + -8x = -18 + 12x + -12x

Combine like terms: 12x + -12x = 0
-40 + -8x = -18 + 0
-40 + -8x = -18

Add '40' to each side of the equation.
-40 + 40 + -8x = -18 + 40

Combine like terms: -40 + 40 = 0
0 + -8x = -18 + 40
-8x = -18 + 40

Combine like terms: -18 + 40 = 22
-8x = 22

Divide each side by '-8'.
x = -2.75

Simplifying
x = -2.75

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