-5(x+3)-(x-7)=20

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Solution for -5(x+3)-(x-7)=20 equation:


Simplifying
-5(x + 3) + -1(x + -7) = 20

Reorder the terms:
-5(3 + x) + -1(x + -7) = 20
(3 * -5 + x * -5) + -1(x + -7) = 20
(-15 + -5x) + -1(x + -7) = 20

Reorder the terms:
-15 + -5x + -1(-7 + x) = 20
-15 + -5x + (-7 * -1 + x * -1) = 20
-15 + -5x + (7 + -1x) = 20

Reorder the terms:
-15 + 7 + -5x + -1x = 20

Combine like terms: -15 + 7 = -8
-8 + -5x + -1x = 20

Combine like terms: -5x + -1x = -6x
-8 + -6x = 20

Solving
-8 + -6x = 20

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + -6x = 20 + 8

Combine like terms: -8 + 8 = 0
0 + -6x = 20 + 8
-6x = 20 + 8

Combine like terms: 20 + 8 = 28
-6x = 28

Divide each side by '-6'.
x = -4.666666667

Simplifying
x = -4.666666667

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