-5(3x+2)-20=-9(x+5)+3x

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Solution for -5(3x+2)-20=-9(x+5)+3x equation:


Simplifying
-5(3x + 2) + -20 = -9(x + 5) + 3x

Reorder the terms:
-5(2 + 3x) + -20 = -9(x + 5) + 3x
(2 * -5 + 3x * -5) + -20 = -9(x + 5) + 3x
(-10 + -15x) + -20 = -9(x + 5) + 3x

Reorder the terms:
-10 + -20 + -15x = -9(x + 5) + 3x

Combine like terms: -10 + -20 = -30
-30 + -15x = -9(x + 5) + 3x

Reorder the terms:
-30 + -15x = -9(5 + x) + 3x
-30 + -15x = (5 * -9 + x * -9) + 3x
-30 + -15x = (-45 + -9x) + 3x

Combine like terms: -9x + 3x = -6x
-30 + -15x = -45 + -6x

Solving
-30 + -15x = -45 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-30 + -15x + 6x = -45 + -6x + 6x

Combine like terms: -15x + 6x = -9x
-30 + -9x = -45 + -6x + 6x

Combine like terms: -6x + 6x = 0
-30 + -9x = -45 + 0
-30 + -9x = -45

Add '30' to each side of the equation.
-30 + 30 + -9x = -45 + 30

Combine like terms: -30 + 30 = 0
0 + -9x = -45 + 30
-9x = -45 + 30

Combine like terms: -45 + 30 = -15
-9x = -15

Divide each side by '-9'.
x = 1.666666667

Simplifying
x = 1.666666667

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