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

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


Simplifying
2(3x + 1) + 5(x + -3) = 0

Reorder the terms:
2(1 + 3x) + 5(x + -3) = 0
(1 * 2 + 3x * 2) + 5(x + -3) = 0
(2 + 6x) + 5(x + -3) = 0

Reorder the terms:
2 + 6x + 5(-3 + x) = 0
2 + 6x + (-3 * 5 + x * 5) = 0
2 + 6x + (-15 + 5x) = 0

Reorder the terms:
2 + -15 + 6x + 5x = 0

Combine like terms: 2 + -15 = -13
-13 + 6x + 5x = 0

Combine like terms: 6x + 5x = 11x
-13 + 11x = 0

Solving
-13 + 11x = 0

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 11x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 11x = 0 + 13
11x = 0 + 13

Combine like terms: 0 + 13 = 13
11x = 13

Divide each side by '11'.
x = 1.181818182

Simplifying
x = 1.181818182

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