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

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


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

Reorder the terms for easier multiplication:
5(3 + 2x) = -3x + 2
(3 * 5 + 2x * 5) = -3x + 2
(15 + 10x) = -3x + 2

Reorder the terms:
15 + 10x = 2 + -3x

Solving
15 + 10x = 2 + -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.
15 + 10x + 3x = 2 + -3x + 3x

Combine like terms: 10x + 3x = 13x
15 + 13x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
15 + 13x = 2 + 0
15 + 13x = 2

Add '-15' to each side of the equation.
15 + -15 + 13x = 2 + -15

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

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

Divide each side by '13'.
x = -1

Simplifying
x = -1

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