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

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


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

Reorder the terms:
5x + 2(-1 + 3x) = 3(x + -5)
5x + (-1 * 2 + 3x * 2) = 3(x + -5)
5x + (-2 + 6x) = 3(x + -5)

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

Combine like terms: 5x + 6x = 11x
-2 + 11x = 3(x + -5)

Reorder the terms:
-2 + 11x = 3(-5 + x)
-2 + 11x = (-5 * 3 + x * 3)
-2 + 11x = (-15 + 3x)

Solving
-2 + 11x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + 11x + -3x = -15 + 3x + -3x

Combine like terms: 11x + -3x = 8x
-2 + 8x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 8x = -15 + 0
-2 + 8x = -15

Add '2' to each side of the equation.
-2 + 2 + 8x = -15 + 2

Combine like terms: -2 + 2 = 0
0 + 8x = -15 + 2
8x = -15 + 2

Combine like terms: -15 + 2 = -13
8x = -13

Divide each side by '8'.
x = -1.625

Simplifying
x = -1.625

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