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

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


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

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

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

Reorder the terms:
15 + 1 + 5x + -2x = 2

Combine like terms: 15 + 1 = 16
16 + 5x + -2x = 2

Combine like terms: 5x + -2x = 3x
16 + 3x = 2

Solving
16 + 3x = 2

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 3x = 2 + -16

Combine like terms: 16 + -16 = 0
0 + 3x = 2 + -16
3x = 2 + -16

Combine like terms: 2 + -16 = -14
3x = -14

Divide each side by '3'.
x = -4.666666667

Simplifying
x = -4.666666667

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