4(6-x)=10(2x-2)-52

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Solution for 4(6-x)=10(2x-2)-52 equation:


Simplifying
4(6 + -1x) = 10(2x + -2) + -52
(6 * 4 + -1x * 4) = 10(2x + -2) + -52
(24 + -4x) = 10(2x + -2) + -52

Reorder the terms:
24 + -4x = 10(-2 + 2x) + -52
24 + -4x = (-2 * 10 + 2x * 10) + -52
24 + -4x = (-20 + 20x) + -52

Reorder the terms:
24 + -4x = -20 + -52 + 20x

Combine like terms: -20 + -52 = -72
24 + -4x = -72 + 20x

Solving
24 + -4x = -72 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
24 + -4x + -20x = -72 + 20x + -20x

Combine like terms: -4x + -20x = -24x
24 + -24x = -72 + 20x + -20x

Combine like terms: 20x + -20x = 0
24 + -24x = -72 + 0
24 + -24x = -72

Add '-24' to each side of the equation.
24 + -24 + -24x = -72 + -24

Combine like terms: 24 + -24 = 0
0 + -24x = -72 + -24
-24x = -72 + -24

Combine like terms: -72 + -24 = -96
-24x = -96

Divide each side by '-24'.
x = 4

Simplifying
x = 4

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