3(x-2)-5(2x+10)=3

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Solution for 3(x-2)-5(2x+10)=3 equation:


Simplifying
3(x + -2) + -5(2x + 10) = 3

Reorder the terms:
3(-2 + x) + -5(2x + 10) = 3
(-2 * 3 + x * 3) + -5(2x + 10) = 3
(-6 + 3x) + -5(2x + 10) = 3

Reorder the terms:
-6 + 3x + -5(10 + 2x) = 3
-6 + 3x + (10 * -5 + 2x * -5) = 3
-6 + 3x + (-50 + -10x) = 3

Reorder the terms:
-6 + -50 + 3x + -10x = 3

Combine like terms: -6 + -50 = -56
-56 + 3x + -10x = 3

Combine like terms: 3x + -10x = -7x
-56 + -7x = 3

Solving
-56 + -7x = 3

Solving for variable 'x'.

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

Add '56' to each side of the equation.
-56 + 56 + -7x = 3 + 56

Combine like terms: -56 + 56 = 0
0 + -7x = 3 + 56
-7x = 3 + 56

Combine like terms: 3 + 56 = 59
-7x = 59

Divide each side by '-7'.
x = -8.428571429

Simplifying
x = -8.428571429

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