5(2x-2)-3(x+4)=-20

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Solution for 5(2x-2)-3(x+4)=-20 equation:


Simplifying
5(2x + -2) + -3(x + 4) = -20

Reorder the terms:
5(-2 + 2x) + -3(x + 4) = -20
(-2 * 5 + 2x * 5) + -3(x + 4) = -20
(-10 + 10x) + -3(x + 4) = -20

Reorder the terms:
-10 + 10x + -3(4 + x) = -20
-10 + 10x + (4 * -3 + x * -3) = -20
-10 + 10x + (-12 + -3x) = -20

Reorder the terms:
-10 + -12 + 10x + -3x = -20

Combine like terms: -10 + -12 = -22
-22 + 10x + -3x = -20

Combine like terms: 10x + -3x = 7x
-22 + 7x = -20

Solving
-22 + 7x = -20

Solving for variable 'x'.

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

Add '22' to each side of the equation.
-22 + 22 + 7x = -20 + 22

Combine like terms: -22 + 22 = 0
0 + 7x = -20 + 22
7x = -20 + 22

Combine like terms: -20 + 22 = 2
7x = 2

Divide each side by '7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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