-3(3x+1)-5=-2(x+5)+4x

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Solution for -3(3x+1)-5=-2(x+5)+4x equation:


Simplifying
-3(3x + 1) + -5 = -2(x + 5) + 4x

Reorder the terms:
-3(1 + 3x) + -5 = -2(x + 5) + 4x
(1 * -3 + 3x * -3) + -5 = -2(x + 5) + 4x
(-3 + -9x) + -5 = -2(x + 5) + 4x

Reorder the terms:
-3 + -5 + -9x = -2(x + 5) + 4x

Combine like terms: -3 + -5 = -8
-8 + -9x = -2(x + 5) + 4x

Reorder the terms:
-8 + -9x = -2(5 + x) + 4x
-8 + -9x = (5 * -2 + x * -2) + 4x
-8 + -9x = (-10 + -2x) + 4x

Combine like terms: -2x + 4x = 2x
-8 + -9x = -10 + 2x

Solving
-8 + -9x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-8 + -9x + -2x = -10 + 2x + -2x

Combine like terms: -9x + -2x = -11x
-8 + -11x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + -11x = -10 + 0
-8 + -11x = -10

Add '8' to each side of the equation.
-8 + 8 + -11x = -10 + 8

Combine like terms: -8 + 8 = 0
0 + -11x = -10 + 8
-11x = -10 + 8

Combine like terms: -10 + 8 = -2
-11x = -2

Divide each side by '-11'.
x = 0.1818181818

Simplifying
x = 0.1818181818

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