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

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


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

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

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

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

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

Solving
-40 + 4x = 6 + -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.
-40 + 4x + 6x = 6 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-40 + 10x = 6 + -6x + 6x

Combine like terms: -6x + 6x = 0
-40 + 10x = 6 + 0
-40 + 10x = 6

Add '40' to each side of the equation.
-40 + 40 + 10x = 6 + 40

Combine like terms: -40 + 40 = 0
0 + 10x = 6 + 40
10x = 6 + 40

Combine like terms: 6 + 40 = 46
10x = 46

Divide each side by '10'.
x = 4.6

Simplifying
x = 4.6

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