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

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


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

Reorder the terms:
5(3 + x) = 3(1 + -2x)
(3 * 5 + x * 5) = 3(1 + -2x)
(15 + 5x) = 3(1 + -2x)
15 + 5x = (1 * 3 + -2x * 3)
15 + 5x = (3 + -6x)

Solving
15 + 5x = 3 + -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.
15 + 5x + 6x = 3 + -6x + 6x

Combine like terms: 5x + 6x = 11x
15 + 11x = 3 + -6x + 6x

Combine like terms: -6x + 6x = 0
15 + 11x = 3 + 0
15 + 11x = 3

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

Combine like terms: 15 + -15 = 0
0 + 11x = 3 + -15
11x = 3 + -15

Combine like terms: 3 + -15 = -12
11x = -12

Divide each side by '11'.
x = -1.090909091

Simplifying
x = -1.090909091

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