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

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


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

Reorder the terms:
5(2 + x) + -3(x + -1) = 5(x + 3)
(2 * 5 + x * 5) + -3(x + -1) = 5(x + 3)
(10 + 5x) + -3(x + -1) = 5(x + 3)

Reorder the terms:
10 + 5x + -3(-1 + x) = 5(x + 3)
10 + 5x + (-1 * -3 + x * -3) = 5(x + 3)
10 + 5x + (3 + -3x) = 5(x + 3)

Reorder the terms:
10 + 3 + 5x + -3x = 5(x + 3)

Combine like terms: 10 + 3 = 13
13 + 5x + -3x = 5(x + 3)

Combine like terms: 5x + -3x = 2x
13 + 2x = 5(x + 3)

Reorder the terms:
13 + 2x = 5(3 + x)
13 + 2x = (3 * 5 + x * 5)
13 + 2x = (15 + 5x)

Solving
13 + 2x = 15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
13 + 2x + -5x = 15 + 5x + -5x

Combine like terms: 2x + -5x = -3x
13 + -3x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
13 + -3x = 15 + 0
13 + -3x = 15

Add '-13' to each side of the equation.
13 + -13 + -3x = 15 + -13

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

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

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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