10(x-4)-10(4-x)=40

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Solution for 10(x-4)-10(4-x)=40 equation: 


Simplifying
10(x + -4) + -10(4 + -1x) = 40

Reorder the terms:
10(-4 + x) + -10(4 + -1x) = 40
(-4 * 10 + x * 10) + -10(4 + -1x) = 40
(-40 + 10x) + -10(4 + -1x) = 40
-40 + 10x + (4 * -10 + -1x * -10) = 40
-40 + 10x + (-40 + 10x) = 40

Reorder the terms:
-40 + -40 + 10x + 10x = 40

Combine like terms: -40 + -40 = -80
-80 + 10x + 10x = 40

Combine like terms: 10x + 10x = 20x
-80 + 20x = 40

Solving
-80 + 20x = 40

Solving for variable 'x'.

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

Add '80' to each side of the equation.
-80 + 80 + 20x = 40 + 80

Combine like terms: -80 + 80 = 0
0 + 20x = 40 + 80
20x = 40 + 80

Combine like terms: 40 + 80 = 120
20x = 120

Divide each side by '20'.
x = 6

Simplifying
x = 6

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