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

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


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

Reorder the terms:
5(-5 + 2x) + -2(x + 10) = -5
(-5 * 5 + 2x * 5) + -2(x + 10) = -5
(-25 + 10x) + -2(x + 10) = -5

Reorder the terms:
-25 + 10x + -2(10 + x) = -5
-25 + 10x + (10 * -2 + x * -2) = -5
-25 + 10x + (-20 + -2x) = -5

Reorder the terms:
-25 + -20 + 10x + -2x = -5

Combine like terms: -25 + -20 = -45
-45 + 10x + -2x = -5

Combine like terms: 10x + -2x = 8x
-45 + 8x = -5

Solving
-45 + 8x = -5

Solving for variable 'x'.

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

Add '45' to each side of the equation.
-45 + 45 + 8x = -5 + 45

Combine like terms: -45 + 45 = 0
0 + 8x = -5 + 45
8x = -5 + 45

Combine like terms: -5 + 45 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5

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