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

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


Simplifying
2(5x + -5) + -4(x + 10) = -2

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

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

Reorder the terms:
-10 + -40 + 10x + -4x = -2

Combine like terms: -10 + -40 = -50
-50 + 10x + -4x = -2

Combine like terms: 10x + -4x = 6x
-50 + 6x = -2

Solving
-50 + 6x = -2

Solving for variable 'x'.

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

Add '50' to each side of the equation.
-50 + 50 + 6x = -2 + 50

Combine like terms: -50 + 50 = 0
0 + 6x = -2 + 50
6x = -2 + 50

Combine like terms: -2 + 50 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8

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